Question

Find the volume of a right circular cone that has a height of 4.9 cm and a base with a circumference of 8.4 cm. Round your answer to the nearest tenth of a cubic centimeter.

Answer 1

Answer: volume of cone = 90.5 cm³

Step-by-step explanation:

The formula for determining the volume of a cone is expressed as

Volume = 1/3πr²h

Where

h represents the height of the cone

r represents the radius of the cone

π is a constant whose value is 3.14

From the information given

Height = 4.9 cm

Circumference of base = 8.4 cm

The formula for determining the circumference of a circle is expressed as

Circumference = 2πr

Therefore

8.4 = 2 × 3.14 × r = 6.28r

r = 8.4/2 = 4.2 cm

Therefore,

Volume of cone = 1/3 × 3.14 × 4.2² × 4.9 = 90.5 cm³ to the nearest tenth of a cubic centimeter.