Question

find the volume of each of the following figures. complete parts (a) through (e) below.

c. right circular co

the volume is 50x

(type an exact ans

use integers or

fractions for any nu

ression.)

d. sphere

the volume is

(type an exact answer terms of x. use integers or

fractions for any numbers in the expression.)

Explanation:

Step1: Recall the formula for the volume of a sphere

The formula for the volume of a sphere is \( V=\frac{4}{3}\pi r^{3}\), where \(r\) is the radius of the sphere.

Step2: Identify the radius of the sphere

From the figure, the radius \(r = 7\) cm.

Step3: Substitute the radius into the formula

Substitute \(r = 7\) into \(V=\frac{4}{3}\pi r^{3}\), we get \(V=\frac{4}{3}\pi\times(7)^{3}\).
Calculate \((7)^{3}=7\times7\times7 = 343\).
Then \(V=\frac{4}{3}\pi\times343=\frac{1372}{3}\pi\) \(cm^{3}\).

Answer:

\(\frac{1372}{3}\pi\) \(cm^{3}\)