Question

The diameter of the base of a cylinder cookies is 8 inches. The volume of the cookie jar is 160 cubic inches. What is the height of the cookie jar?

Answer 1

Hello!

To calculate the height of the cookie jar, we must use this formula.

FORMULA FOR HEIGHT:

H = V ÷ 3.14 × r × r

First, let's fine the radius. The radius of a circle is always half of the diameter. This means we must divide the diameter by 2.

r = d ÷ 2

r = 8 ÷ 2

r = 4 inches

The radius is 4 inches. Now, let's use the formula and find that height!

FORMULA:

H = V ÷ 3.14 × r × r

V = 160 cubic inches

Pi = 3.14

r = 4 inches

h = ?

First, square the radius.

160 = (3.14(4 × 4))h

160 = (3.14 (16))h

Now multiply that by pi.

160 = 50.24h

Finally, divide this by the volume:

160 ÷ 50.24 = 3.18 (Repeating Decimal)

Just round the repeating decimal to 3.2

A N S W E R:

The height of the cookie jar is about 3.2 inches.