Find the volume of a cone with a height of 6 in and a base radius of 4 in

Question

asked Sep 22, 2021 3.7k views

2 Answers

Robert Kusznier · Answer 1 · 2021-09-24T17:28:32+0000

Solution :-

Given :

To Find :

Now , we can find Volume of cone as ,

$\boxed{\red{\bf{\dag Volume_(cone)=(1)/(3)\pi (radius)^2* height }}}$

$\tt:\implies Volume_(cone) =(1)/(3)\pi r^2h$

$\tt:\implies Volume_(cone) =(1)/(3)\bigg\lgroup (22)/(7)* 4^2* 6\bigg\rgroup$

$\tt:\implies Volume_(cone) =(1)/(3)*\bigg\lgroup (22*16*6)/(7)\bigg\rgroup$

$\tt:\implies Volume_(cone) =(1)/(3)* 301 .71$

$\underline{\boxed{\red{\tt\longmapsto Volume_(cone)=100.571in^3}}}$

$\underline{\boxed{\green{\bf{\pink{\dag}Hence\:the\: Volume\:of\:cone\:is\:100.571in^3}}}}$

Aloso · Answer 2 · 2021-09-25T17:29:24+0000

Answer:

The answer is

Explanation:

The volume of a cone is given by

$V = (1)/(3) \pi {r}^(2) h$

where

r is the radius

h is the height of the cone

From the question

h = 6 in

r = 4 in

The volume of the cone is

$V = (1)/(3) * {4}^(2) * 6\pi \\ = (1)/(3) * 16 * 6\pi \\ = (1)/(3) * 96\pi \\ = 32\pi \\ = 100.530964$

We have the final answer as

100.5 in³

Hope this helps you