A cylindrical drinking glass can hold 56.52 cubic inches of

water. The diameter of the glass is 3 in. How tall is the glass?

Use 3.14 for T.

A. 4 inches

B. 6 inches

CC. 7 inches

D. 8 inches

The answer is

D. 8 inches

Step-by-step explanation:

This problem bothers on the mensuration of solid shapes, a cylinder this time.

Given data

Volume of cylindrical shape v=

56.52 inch³

Diameter of cylindrical glass d = 3

inch

But raduis r = diameter/2=3/2 = 1.5

inch

We know that the the expression for the volume of a cylinder is given as

v = πr²h

Substituting our given data to solve for the height h

56.52 = 3.14 * (1.5) ²*h

56.52 = 7.065h

h = 56.52/7.065

h = 8 inches