Pembahasan Soal Volume Bola Dan Luas Permukaan Bola

Rumus Luas Permukaan Bola Jika anda masih belum tahu ihwal rumus mencari volume bola dan rumus mencari luas permukaan bola, kita akan menulis kembali kedua rumus tersebut sebagai berikut :1.Rumus mencari Volume Bola

Volume Bola =

4 / 3

x π x r³

Keterangan:

r yakni jari-jari
π yaitu nilai konstanta (setara 3,14 atau 22/7)

2. Rumus Luas Permukaan Bola

Luas Permukaan Bola = 4 x π x r²

Keterangan

r yakni jari-jari
π adalah nilai konstanta (3,14 atau 22/7)

Pembahasan Soal Volume dan Luas Permukaan Bola Soal No.1 Sebuah Bola mempunyai jari-jari 7 cm. Hitunglah luas permukaan Bola tersebut ? Pembahasan jari-jari (r) = 7 cm

Luas Permukaan Bola = 4 x π x r²
Luas Permukaan Bola = 4 x

22 / 7

x 7²
Luas Permukaan Bola = 616 cm²

Soal No.2 Tentukanlah volume Bola tersebut jika berjari-jari 7 cm ? Pembahasan jari-jari (r) = 7 cm

Volume Bola =

4 / 3

x π x r³
Volume Bola =

4 / 3

22 / 7

x 7³
Volume Bola = 1.437,33 cm³

Soal No.3 Jari-jari suatu bola basket adalah 10 cm. Berapakah volume bola basket tersebut (π = 3,14) ? Pembahasan r = 10 cm

Volume Bola Basket =

4 / 3

x π x r³
Volume Bola Basket =

4 / 3

x 3,14 x 10³ = 4.186,66 cm³

Soal No.4 Sebuah Bola memiliki volume 113,04 cm³. Hitunglah panjang diameter Bola tersebut (π = 3,14) ? Pembahasan Volume Bola = 113,04 cm³

Volume Bola =

4 / 3

x π x r³
113,04 =

4 / 3

x 3,14 x r³
4 x 3,14 x r³ = 113,04 x 3
12,56 r³ = 339,12
r³ =

339,12 / 12,56

= 27
r = 3 cm

d = 2(r) = 2(3) = 6 cm

Sehingga diameter Bola tersebut yakni 6 cm

Soal No.5 Hitunglah luas permukaan bola jikalau diketahui jari-jari bola 49 cm ? Pembahasan jari-jari (r) = 49 cm

Luas Permukaan Bola = 4 x π x r²
Luas Permukaan Bola = 4 x

22 / 7

x 49²
Luas Permukaan Bola = 30.184 cm²

Soal No.6 Apabila dikenali jari-jari suatu Bola yakni 2 inch, berapakah volume bola tersebut dalam satuan cm³ (π = 3,14) ? Pembahasan r = 2 inch

Volume Bola =

4 / 3

x π x r³
Volume Bola =

4 / 3

x 3,14 x 2³
Volume Bola =

4 / 3

x 3,14 x 8
Volume Bola =

100.48 / 3

Volume Bola = 33,49 inch³

Konversi inch³ ke cm³,dimana :
1 inch³ = 16,3871 cm³
33,49 inch³ = 54880,277 cm³

Dengan demikian Volume Bola ialah 54880,277 cm³

Soal No.7 Tentukanlah nilai volume Bola bila luas permukaan sebuah Bola tersebut yaitu 616 cm² ? Pembahasan Luas Permukaan Bola = 616 cm²
Luas Permukaan Bola = 4 x π x r²
616 = 4 x

22 / 7

x r²
616 x 7 = 4 x 22 x r²
4312 = 88r²
r²
=

4312 / 88

= 49
r = 7 cm

Volume Bola =

4 / 3

x π x r³
Volume Bola =

4 / 3

22 / 7

x 7³
Volume Bola = 1.437,33 cm³

Jadi Volume Bola tersebut yakni 1.437,33 cm³

Soal No.8 Jika diameter Bulan 1 / 4 diameter Bumi. Tentukan perbandingan volume Bulan kepada Bumi ? Pembahasan Untuk Bumi
Misalkan diameter Bumi = x, maka jari-jari Bumi =

x / 2

Volume Bumi =

4 / 3

x π x r³
Volume Bumi =

4 / 3

x π x (

x / 2

)³

Untuk Bulan
Dari soal dikenali bahwa : diameter Bulan

1 / 4

diameter Bumi , jadi
Diameter Bulan =

x / 4

Jari-Jari Bulan =

1 / 2

x diameter Bulan =

1 / 2

x / 4

x / 8

Volume Bulan =

4 / 3

x π x r³
Volume Bulan =

4 / 3

x π x (

x / 8

)³

Perbandingan Volume Bulan terhadapa Volume Bumi =

Volume Bulan / Volume Bumi

~~4/3π~~ (x/8)³ / ~~4/3π~~(x/2)³

Volume Bulan / Volume Bumi

x³ / 8³ / x³ / 2³

Volume Bulan / Volume Bumi

2³ . x³ / 8³ . x³

Volume Bulan / Volume Bumi

8 / 512

Volume Bulan / Volume Bumi

1 / 64

Jadi Volume Bulan ialah

1 / 64

Volume Bumi

Soal No.9 Berapakah panjang jari-jari bola bila diketahui luas permukaan bola ialah 50,24 cm² (π = 3,14) ? Luas Permukaan Bola = 50,24 cm²

Luas Permukaan Bola = 4 x π x r²
50,24 = 4 x 3,14 x r²
50,24 = 12,56r²
r² =

50,24 / 12,56

= 4
r = 2 cm

Dengan demikian jari-jari bola tersebut ialah 2 cm

(adsbygoogle = window.adsbygoogle || []).push({}); !function(){"use strict";if("querySelector"in document&&"addEventListener"in window){var e=document.body;e.addEventListener("mousedown",function(){e.classList.add("using-mouse")}),e.addEventListener("keydown",function(){e.classList.remove("using-mouse")})}}(); var wpcf7 = {"api":{"root":"https:\/\/tunascakrawala.sch.id\/wp-json\/","namespace":"contact-form-7\/v1"},"cached":"1"}; "use strict";var _createClass=function(){function defineProperties(target,props){for(var i=0;i<props.length;i++){var descriptor=props[i];descriptor.enumerable=descriptor.enumerable||!1,descriptor.configurable=!0,"value"in descriptor&&(descriptor.writable=!0),Object.defineProperty(target,descriptor.key,descriptor)}}return function(Constructor,protoProps,staticProps){return protoProps&&defineProperties(Constructor.prototype,protoProps),staticProps&&defineProperties(Constructor,staticProps),Constructor}}();function _classCallCheck(instance,Constructor){if(!(instance instanceof Constructor))throw new TypeError("Cannot call a class as a function")}var RocketBrowserCompatibilityChecker=function(){function RocketBrowserCompatibilityChecker(options){_classCallCheck(this,RocketBrowserCompatibilityChecker),this.passiveSupported=!1,this._checkPassiveOption(this),this.options=!!this.passiveSupported&&options}return _createClass(RocketBrowserCompatibilityChecker,[{key:"_checkPassiveOption",value:function(self){try{var options={get passive(){return!(self.passiveSupported=!0)}};window.addEventListener("test",null,options),window.removeEventListener("test",null,options)}catch(err){self.passiveSupported=!1}}},{key:"initRequestIdleCallback",value:function(){!1 in window&&(window.requestIdleCallback=function(cb){var start=Date.now();return setTimeout(function(){cb({didTimeout:!1,timeRemaining:function(){return Math.max(0,50-(Date.now()-start))}})},1)}),!1 in window&&(window.cancelIdleCallback=function(id){return clearTimeout(id)})}},{key:"isDataSaverModeOn",value:function(){return"connection"in navigator&&!0===navigator.connection.saveData}},{key:"supportsLinkPrefetch",value:function(){var elem=document.createElement("link");return elem.relList&&elem.relList.supports&&elem.relList.supports("prefetch")&&window.IntersectionObserver&&"isIntersecting"in IntersectionObserverEntry.prototype}},{key:"isSlowConnection",value:function(){return"connection"in navigator&&"effectiveType"in navigator.connection&&("2g"===navigator.connection.effectiveType||"slow-2g"===navigator.connection.effectiveType)}}]),RocketBrowserCompatibilityChecker}(); var RocketPreloadLinksConfig = {"excludeUris":"\/(?:.+\/)?feed(?:\/(?:.+\/?)?)?$|\/(?:.+\/)?embed\/|\/(index\\.php\/)?wp\\-json(\/.*|$)|\/wp-admin\/|\/logout\/|\/wp-login.php|\/refer\/|\/go\/|\/recommend\/|\/recommends\/","usesTrailingSlash":"1","imageExt":"jpg|jpeg|gif|png|tiff|bmp|webp|avif","fileExt":"jpg|jpeg|gif|png|tiff|bmp|webp|avif|php|pdf|html|htm","siteUrl":"https:\/\/tunascakrawala.sch.id","onHoverDelay":"100","rateThrottle":"3"}; (function() { "use strict";var r="function"==typeof Symbol&&"symbol"==typeof Symbol.iterator?function(e){return typeof e}:function(e){return e&&"function"==typeof Symbol&&e.constructor===Symbol&&e!==Symbol.prototype?"symbol":typeof e},e=function(){function i(e,t){for(var n=0;n<t.length;n++){var i=t[n];i.enumerable=i.enumerable||!1,i.configurable=!0,"value"in i&&(i.writable=!0),Object.defineProperty(e,i.key,i)}}return function(e,t,n){return t&&i(e.prototype,t),n&&i(e,n),e}}();function i(e,t){if(!(e instanceof t))throw new TypeError("Cannot call a class as a function")}var t=function(){function n(e,t){i(this,n),this.browser=e,this.config=t,this.options=this.browser.options,this.prefetched=new Set,this.eventTime=null,this.threshold=1111,this.numOnHover=0}return e(n,[{key:"init",value:function(){!this.browser.supportsLinkPrefetch()||this.browser.isDataSaverModeOn()||this.browser.isSlowConnection()||(this.regex={excludeUris:RegExp(this.config.excludeUris,"i"),images:RegExp(".("+this.config.imageExt+")$","i"),fileExt:RegExp(".("+this.config.fileExt+")$","i")},this._initListeners(this))}},{key:"_initListeners",value:function(e){-1<this.config.onHoverDelay&&document.addEventListener("mouseover",e.listener.bind(e),e.listenerOptions),document.addEventListener("mousedown",e.listener.bind(e),e.listenerOptions),document.addEventListener("touchstart",e.listener.bind(e),e.listenerOptions)}},{key:"listener",value:function(e){var t=e.target.closest("a"),n=this._prepareUrl(t);if(null!==n)switch(e.type){case"mousedown":case"touchstart":this._addPrefetchLink(n);break;case"mouseover":this._earlyPrefetch(t,n,"mouseout")}}},{key:"_earlyPrefetch",value:function(t,e,n){var i=this,r=setTimeout(function(){if(r=null,0===i.numOnHover)setTimeout(function(){return i.numOnHover=0},1e3);else if(i.numOnHover>i.config.rateThrottle)return;i.numOnHover++,i._addPrefetchLink(e)},this.config.onHoverDelay);t.addEventListener(n,function e(){t.removeEventListener(n,e,{passive:!0}),null!==r&&(clearTimeout(r),r=null)},{passive:!0})}},{key:"_addPrefetchLink",value:function(i){return this.prefetched.add(i.href),new Promise(function(e,t){var n=document.createElement("link");n.rel="prefetch",n.href=i.href,n.onload=e,n.onerror=t,document.head.appendChild(n)}).catch(function(){})}},{key:"_prepareUrl",value:function(e){if(null===e||"object"!==(void 0===e?"undefined":r(e))||!1 in e||-1===["http:","https:"].indexOf(e.protocol))return null;var t=e.href.substring(0,this.config.siteUrl.length),n=this._getPathname(e.href,t),i={original:e.href,protocol:e.protocol,origin:t,pathname:n,href:t+n};return this._isLinkOk(i)?i:null}},{key:"_getPathname",value:function(e,t){var n=t?e.substring(this.config.siteUrl.length):e;return n.startsWith("/")||(n="/"+n),this._shouldAddTrailingSlash(n)?n+"/":n}},{key:"_shouldAddTrailingSlash",value:function(e){return this.config.usesTrailingSlash&&!e.endsWith("/")&&!this.regex.fileExt.test(e)}},{key:"_isLinkOk",value:function(e){return null!==e&&"object"===(void 0===e?"undefined":r(e))&&(!this.prefetched.has(e.href)&&e.origin===this.config.siteUrl&&-1===e.href.indexOf("?")&&-1===e.href.indexOf("#")&&!this.regex.excludeUris.test(e.href)&&!this.regex.images.test(e.href))}}],[{key:"run",value:function(){"undefined"!=typeof RocketPreloadLinksConfig&&new n(new RocketBrowserCompatibilityChecker({capture:!0,passive:!0}),RocketPreloadLinksConfig).init()}}]),n}();t.run(); }()); var generatepressMenu = {"toggleOpenedSubMenus":"1","openSubMenuLabel":"Open Sub-Menu","closeSubMenuLabel":"Close Sub-Menu"}; var generatepressNavSearch = {"open":"Open Search Bar","close":"Close Search Bar"}; var generatepressBackToTop = {"smooth":"1"}; window.lazyLoadOptions={elements_selector:"img[data-lazy-src],.rocket-lazyload,iframe[data-lazy-src]",data_src:"lazy-src",data_srcset:"lazy-srcset",data_sizes:"lazy-sizes",class_loading:"lazyloading",class_loaded:"lazyloaded",threshold:300,callback_loaded:function(element){if(element.tagName==="IFRAME"&&element.dataset.rocketLazyload=="fitvidscompatible"){if(element.classList.contains("lazyloaded")){if(typeof window.jQuery!="undefined"){if(jQuery.fn.fitVids){jQuery(element).parent().fitVids()}}}}}};window.addEventListener('LazyLoad::Initialized',function(e){var lazyLoadInstance=e.detail.instance;if(window.MutationObserver){var observer=new MutationObserver(function(mutations){var image_count=0;var iframe_count=0;var rocketlazy_count=0;mutations.forEach(function(mutation){for(var i=0;i<mutation.addedNodes.length;i++){if(typeof mutation.addedNodes[i].getElementsByTagName!=='function'){continue} if(typeof mutation.addedNodes[i].getElementsByClassName!=='function'){continue} images=mutation.addedNodes[i].getElementsByTagName('img');is_image=mutation.addedNodes[i].tagName=="IMG";iframes=mutation.addedNodes[i].getElementsByTagName('iframe');is_iframe=mutation.addedNodes[i].tagName=="IFRAME";rocket_lazy=mutation.addedNodes[i].getElementsByClassName('rocket-lazyload');image_count+=images.length;iframe_count+=iframes.length;rocketlazy_count+=rocket_lazy.length;if(is_image){image_count+=1} if(is_iframe){iframe_count+=1}}});if(image_count>0||iframe_count>0||rocketlazy_count>0){lazyLoadInstance.update()}});var b=document.getElementsByTagName("body")[0];var config={childList:!0,subtree:!0};observer.observe(b,config)}},!1)function lazyLoadThumb(e){var t='<img data-lazy-src="https://i.ytimg.com/vi/ID/hqdefault.jpg" alt="" width="480" height="360"><noscript><img src="https://i.ytimg.com/vi/ID/hqdefault.jpg" alt="" width="480" height="360">

',a='';return t.replace("ID",e)+a}function lazyLoadYoutubeIframe(){var e=document.createElement("iframe"),t="ID?autoplay=1";t+=0===this.parentNode.dataset.query.length?'':'&'+this.parentNode.dataset.query;e.setAttribute("src",t.replace("ID",this.parentNode.dataset.src)),e.setAttribute("frameborder","0"),e.setAttribute("allowfullscreen","1"),e.setAttribute("allow", "accelerometer; autoplay; encrypted-media; gyroscope; picture-in-picture"),this.parentNode.parentNode.replaceChild(e,this.parentNode)}document.addEventListener("DOMContentLoaded",function(){var e,t,p,a=document.getElementsByClassName("rll-youtube-player");for(t=0;t