Question

a sphere has a volume of 4500 cm³. Find its surface area to the nearest whole number

Answer 1

Solution

For this case the volume is given by:

V= 4500 cm^3

We can find the radius like this:

$V=\frac{4}{3}\pi r^3$$r=\sqrt[3]{\frac{3\cdot V}{4\pi}}=\sqrt[3]{\frac{3\cdot4500}{4\pi}}=10.242$

then we can find the surface are with this formula:

$SA=4\pi(10.242^2)=1318.13\operatorname{cm}^2$

Rounded to the nearest whole number we got:

1318 cm^2