A solid plastic ball is a sphere with a radius of 8 inches. How much plastic does it take to make one ball

Mathematics

1 answer:

mihalych1998 [28]2 years ago

7 0

Answer:

2144.66in³

Step-by-step explanation:

Radius = 8 inches.

To determine the amount of sphere to make the ball, we'll have to find its volume.

Volume of a sphere = 4/3 * Πr³

V = 4/3*Πr³

Π = 22/7

V = 4/3 * 22/7 * 8³

V = 2144.66inches³

V = 2144.66in³

The amount of plastic required is 2144.66in³.

You might be interested in

Solve the equation on the interval [0, 2pi): 12cos^2 x-9=0<br><br><br> What to do?

siniylev [52]

Answer:

$\large\boxed{x=\dfrac{\pi}{6}\ \vee\ x=\dfrac{5\pi}{6}\ \vee\ x=\dfrac{7\pi}{6}\ \vee\ x=\dfrac{11\pi}{6}}$

Step-by-step explanation:

$12\cos^2x-9=0\qquad\text{add 9 to both sides}\\\\12\cos^2x=9\qquad\text{divide both sides by 12}\\\\\cos^2x=\dfrac{9}{12}\\\\\cos^2x=\dfrac{9:3}{12:3}\\\\\cos^2x=\dfrac{3}{4}\to\cos x=\pm\sqrt{\dfrac{3}{4}}\\\\\cos x=\pm\dfrac{\sqrt3}{2}\\\\\text{Look at the picture}\\\\x=\dfrac{\pi}{6}\ \vee\ x=\dfrac{5\pi}{6}\ \vee\ x=\dfrac{7\pi}{6}\ \vee\ x=\dfrac{11\pi}{6}$