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 ,

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

$\tt:\implies Volume_{cone} =\dfrac{1}{3}\pi r^2h$

$\tt:\implies Volume_{cone} =\dfrac{1}{3}\bigg\lgroup \dfrac{22}{7}\times 4^2\times 6\bigg\rgroup$

$\tt:\implies Volume_{cone} =\dfrac{1}{3}\times\bigg\lgroup \dfrac{22\times16\times6}{7}\bigg\rgroup$

$\tt:\implies Volume_{cone} =\dfrac{1}{3}\times 301 .71$

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

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

Answer 2

Answer:

The answer is

100.5 in³

Step-by-step explanation:

The volume of a cone is given by

$V = \frac{1}{3} \pi {r}^{2} h$

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

$V = \frac{1}{3} \times {4}^{2} \times 6\pi \\ = \frac{1}{3} \times 16 \times 6\pi \\ = \frac{1}{3} \times 96\pi \\ = 32\pi \\ = 100.530964$

We have the final answer as

100.5 in³

Hope this helps you