Question

What is the volume of this sphere? Use 3.14 for pi and round to the nearest hundredth when necessary.

A) 50.24 m^3
B)267.95 m^3
C)1607.68 m^3
D)2143.57 m^3

Answer 1

B

explanation:

I took the quiz

Answer 2

First, let's get the formula for a sphere

`v = (4)/(3) * \pi * {r}^(3)`

We have to substitute PI for 3.14 though, but this is jist the original formala for starters. We have the diameter, but bot the radius, the way to find the radius is to divide the diameter in half, half of 8 is 4, so the radius is 4.

Now that we have all the numbers that we need, we plug it into our original formula, (yes, we do substitute PI with 3.14, for those who are still wondering).

`v = (4)/(3) * 3.14 * {4}^(3)`

When we calculate all of this on a calculator, we get 267.95 cubed meters. So yes, the right answer is B.