75.3k views
14 votes
What is the volume of a cone with a diameter of 30 ft and a height of 60 ft? Use 3.14 for π

1 Answer

8 votes

Answer:

14130 cubic feet

Explanation:

Key skills needed: Volume of a cone, Multiplication, Pi operations

1) To solve this problem, one needs to know how to get the volume of a cone.

This is --->
(1)/(3)r^2hπ -----> r is the radius, and h is the height

2) In the problem, we are given the diameter, which is 30 ft. The radius would be half of the diameter. 30/2 = 15.----> The radius is 15 ft.

3) The height is given as well, and we use 3.14 for pi (π).

4) Let's solve for the volume:
(1)/(3)(15)^(2)(60)(3.14) The 60 and 1/3 multiplied together is 20 and 15^2 is 225. T

This means ---> 20(225)(3.14) ---> 20 times 225 is 4500

4500 times 3.14 is 14,130. Volume here is measured in cubic feet, so your answer would be 14,130 cubic feet.

Hope you understood and have a nice day!! :D

User Walfie
by
4.7k points