124k views
0 votes
CO

The diameter of the base of the cone
measures 8 units. The height of the
cone measures 6 units. What is the
volume of the cone?
8
24 T cubic units
64 i cubic units
32 cubic units
48 cubic units

1 Answer

1 vote

Answer:

100.48 cubic units

Explanation:

Given :

Diameter = 8 units

we know radius is half of diameter

radius = Diameter/2 = 8/2 = 4 units

Height = 6 unit.

Shape of figure : cone

we know that volume of cone is 1/3(area of base * height of cone)

area of base is given by
\pi r^2 where r is the radius.

we will use value of
\pi = 3.13

thus area of base of cone is calculated below


area = \pi r^(2) \\=>area = 3.14 *4^(2) \\=>area = 3.14 *16\\=> area = 50.24

Now volume of cone = 1/3*(area of base * height of cone)

= 1/3* 50.24*6 = 100.48.

Thus, volume of cone is 100.48 cubic units.

User FutoRicky
by
7.8k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.