Question

2) A cone has a volume of 87 cm, and a height of 4 cm. What is the radius, to the

nearest centimeter?

Answer 1

The answer is 5 cm

Hope this helped!!

Answer 2

5cm

Explanation:

radius of cone using volume:

v = (r)^2 (h/3)

1. Plug in:

87 = (3.14) (r)^2 (4/3)

2. Divide

87 = (3.14) (r)^2 (1.33333333333)

3. Multiply

87 = 4.18666666667 (r)^2

4. Divide to get r alone:

87 / 4.18666666667 = 4.18666666667 / 4.18666666667 (r)^2

20.7802547771 = r^2

5. Square root

The principal, real, root of:

20.7802547771

√220.78025477712 = 4.55853647 = r

So the radius is 4.55853647 or 5 cm

Nearest centimeter means rounding the value to the closest whole number in centimeters. In this case, the radius of the cone is approximately 4.55853647 cm. Rounding this value to the nearest centimeter gives 5 cm.

Added pictures to help.