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

Answer:

C

Step-by-step explanation:

Recall that the volume of a sphere is given by:

$\displaystyle V = \frac{4}{3}\pi r^3$

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

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

In conclusion, our answer is C.