Question

A solid glass sphere is cast with a diameter of 30 cm. find the volume of the sphere. please leave in terms of pi.

a. v = 20pie cm^3
b. v = 40pie cm^3
c. v = 4,500pie cm^3
d. v=14,137pie cm^3

Answer 1

C

Explanation:

Recall that the volume of a sphere is given by:

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

Because the sphere has a diameter of 30 cm, its radius is 15 cm. Therefore, its volume is:

`\displaystyle \begin{aligned} V & =(4)/(3)\pi(15\text{ cm})^3 \\ \\ & = (4)/(3)\pi(3375\text{ cm}^3) \\ \\ & = 4500\pi\text{ cm}^3 \end{aligned}`

In conclusion, our answer is C.