Question

A prop for a school play is a sphere that will be hung from the ceiling. The surface area of the sphere is 5 024 cm'. If the surface area of the sphere can be found by using the formula SA = 4πr^2. where r is the radius, what is the radius of the sphere, to the nearest cm?

Answer 1

Answer:

The radius of the sphere, to the nearest cm:

$r\approx 20$ cm

Step-by-step explanation:

The surface area of a sphere is given by the formula

A = 4πr²

where r is the radius of the sphere.

Given

• The surface area of sphere A = 5024 cm²

The radius of the sphere can be determined such as

$A\:=\:4\pi r^2$

$r\:=\:\frac{1}{2}\sqrt{\frac{A}{\pi }}$

Plug in Surface Area of sphere =  5024, π = 3.14 in the formula

$\:r\:=\:\frac{1}{2}\sqrt{\frac{5024}{3.14}}\:\:$

$r\approx 20$ cm

Therefore, the radius of the sphere, to the nearest cm:

$r\approx 20$ cm