Question

What is the volume of a sphere with a radius of 24.2 ft, rounded to the

nearest tenth of a cubic foot?

Answer 1

V is about 59335.5 cubic feet

Explanation:

The formula to find the volume of a sphere is V=4/3πr^3.

If the radius is 24.2, we just need to substitute numbers into the equation.

V=4/3(3.14)(24.2^3)

V=4/3(3.14)(14172.488) **Find 24.2 cubed**

V=(4*14172.488)/3*3.14

V=(56689.952)/3*3.14 **Multiply the numerator**

V=18896.65067*3.14 **Divide the numerator by the denominator**

V=59335.48309 **Multiply by the simplified pi**

V is about 59335.5 cubic feet

It's a bit long of work but I hope I was able to have helped! Good Luck!

Answer 2

The volume of given sphere is 59,335.5 cubic feet

Explanation:

Given that

Radius of sphere=r= 24.2 feet

The volume of a sphere is calculated by the formula:

`V = (4)/(3)\pi r^3`

We can use 3.14 or 22/7 for the value of pi

Putting the values, we get

`V = (4)/(3) * 3.14 * (24.2)^3\\= (12.56)/(3) * 14,172.488\\=(178,006.44928)/(3)\\=59,335.48309`

Rounding off to nearest tenth of cubic feet

59,335.5 cubic feet

Hence,

The volume of given sphere is 59,335.5 cubic feet