Question

A sphere has a volume of 4500pi cubic feet what is the radius of the sphere

Answer 1

Answer: r=15ft

Step-by-step explanation:

Volume of a sphere= 4/3pir3

Volume =4500pi

R=?

Substitute the values

V=4/3pir3

4500pi=4/3pir3

Pi will cancel pi

So we have

4500=4/3r3

4500×3=4r3

13500=4r3

R3=13500/4

R3= 3375

R= cube root of 3375

R=15ft

Answer 2

Answer:

S = $900\pi in^2$

Step-by-step explanation:

$V = 4\pi r^3 /3\\\\\\13500\pi = 4\pi r^3\\\\\\r^3 = \frac{13500\pi }{4\pi } \\\\\\r^3 = 3375\\\\\\r = 15 in\\\\\\S = 4\pi r^2\\\\S = 4\pi 15^2\\\\S = 900 \pi in^2$