# The height $h$ and the base area $B$ of a cone are given. Find the volume of the cone. Write your answer in terms of $\pi$ .

Question

The height $h$ and the base area $B$ of a cone are given. Find the volume of the cone. Write your answer in terms of $\pi$ .

$h=6$ units

$B=4\pi$ square units

The volume is__ cubic units.

in progress 0
1 week 2023-01-23T20:29:21+00:00 2 Answers 0 views 0

1. The height and the base area of the cone are 6 units and 4π square units. Then the volume of the cone is 24π.

### What is Geometry?

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
The height (h = 6) and the base area (b = 4π) of a cone is given.
Then the volume of the cone will be
Volume = b × h
Volume = 4π × 6
Volume = 24π

(i) 84 cm.
(ii) 5635π cm^2
Step-by-step explanation:
(i)
The volume of the cone = 1/3 π r^2 h
= 1/3 π 35^2 h.
The volume of the hemisphere = 2/3 π 35^3.
As the volume of the cone is 1 1/5 ( = 6/5) times the volume of the hemisphere:
1/3 π 35^2 h = 2/3 π 35^3 * 6/5
h = 2/3 π 35^3 * 6/5 / 1/3 π 35^2