Answer:
The answer is
Step-by-step explanation:
The volume of a cone is given by
[tex]V = \frac{1}{3} \pi {r}^{2} h[/tex]
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
[tex]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[/tex]
We have the final answer as
100.5 in³
Hope this helps you
Solution :-
Given :
To Find :
Now , we can find Volume of cone as ,
[tex]\boxed{\red{\bf{\dag Volume_{cone}=\dfrac{1}{3}\pi (radius)^2\times height }}}[/tex]
[tex]\tt:\implies Volume_{cone} =\dfrac{1}{3}\pi r^2h[/tex]
[tex]\tt:\implies Volume_{cone} =\dfrac{1}{3}\bigg\lgroup \dfrac{22}{7}\times 4^2\times 6\bigg\rgroup [/tex]
[tex]\tt:\implies Volume_{cone} =\dfrac{1}{3}\times\bigg\lgroup \dfrac{22\times16\times6}{7}\bigg\rgroup[/tex]
[tex]\tt:\implies Volume_{cone} =\dfrac{1}{3}\times 301 .71 [/tex]
[tex]\underline{\boxed{\red{\tt\longmapsto Volume_{cone}=100.571in^3}}}[/tex]
[tex]\underline{\boxed{\green{\bf{\pink{\dag}Hence\:the\: Volume\:of\:cone\:is\:100.571in^3}}}}[/tex]
