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APPLICATIONSA bowling ball fits tightly against all sides of a cardboard box that it is packaged in. Find expressions for the volume of the ball and box. Leave $\pi$ in your answer.

$288 \pi x^{3}$ in $^{3}$$216 x^{3} \mathrm{in}^{3}$

Algebra

Chapter 5

Exponents and Polynomials

Section 1

Rules for Exponents

Polynomials

Baylor University

University of Michigan - Ann Arbor

Idaho State University

Lectures

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In mathematics, the absolu…

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01:47

The diameter of a bowling …

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Find the volume of each fi…

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See Examples $5-7 .$ If yo…

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Find the volume. (Use the …

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So here we've a bowling ball with a diameter of 10 inches. So first, find the volume with bowling ball. So the volume off the ball is going to be 4/3 pi. So 3.14 times are cute, while our diameter is 10. So our radius to be half of that, which is five. Okay, so now we have 4/3 times 3.14 times five cubed. So that gives us a volume of 5 23.3 inches cubed. And now we know we also have some holes in our bully goal to put your fingers in. Um, and each one is a cylinder. The cylinder is three inches deep and has a one inch diameter, so that means it's 1/2 on inch radius. So the volume of the cylinders is going to be We have three of them. So we're gonna mostly whatever we do by three. Um, hi. Said 3.14 times the radius squares your 0.5 squared times the height. So three times 3.14 times. Cyril 0.5 squared. Times three gives us 7.65 We're gonna do, um, the volume of the ball minus the volume of the cylinders. So we get the total amount of just material and not counting the holes. So when we do that, um, who gets 516.27 and she's cubes or cubic inches 560.27 inches cute.

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