Question

the area of the base of a right circular cone is 78.5 CM square if its height is 12 CM then its volume is​

Answer 1

Answer:

We require radius and height of right circular cone to find its volume by the the use formula for finding volume of a right circular cone.

so firstly radius of the cone can be calculated as:-)

Given that area of base is 78.5 cm.

So,

$\pi {r}^{2} = 78.5 \\ \implies \boxed{ {r}^{2} = \frac{78.5}{ \pi} }$

Also given that height of The right circular cone is 12 cm

So,

$Volume = \frac{1}{3} \pi {r}^{2} h \\ = \frac{1}{3} \times \pi \times \frac{78.5}{ \pi} \times 12 \\ = 78.5 \times 4 \\ = 314{cm}^{3}$

Answer 2

$\huge{\star}{\underline{\boxed{\red{\sf{Answer :}}}}}{\star}$

We are given that area of base of cone which is circular in shape is 78.5 cm².

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We know that area of circle :-

$\huge{\boxed{\boxed{\sf{Area \: = \: \pi r^{2}}}}}$

____________[Put Values]

πr² = 78.5

$\LARGE{\sf{r^2 \: = \: {\frac{78.5}{\pi}}}}$

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A.T.Q,

Volume of cone =

$\huge{\boxed{\boxed{\sf{Volume \: = \: {\frac{1}{3}}\pi r^2 h}}}}$

_________________[Put Values]

Volume = π × 78.5 × 12/π × 3

Volume = 78.5 × 4

$\huge{\sf{Volume \: = \: 314 \: cm^2}}$

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