Question

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

Answer 1

Solution :-

Given :

• Height of cone is 6 in.
• Radius of base is 4 in .

To Find :

• The Volume of come .

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}}}}`

Answer 2

The answer is

100.5 in³

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