Question

if a right circular cone has radius is 4 cm and slant height is 5 cm then what it is volume
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Answer 1

$\huge\boxed{\mathfrak{\red{\fcolorbox{red}{pink}{ AnSwer:-}}}}$

The volume of cone is 50.24 cubic cm

$\underline\bold \red {♡Explanation♡}$

Radius of cone r = 4 cm

Slant height of cone l = 5 cm

$So, l^2= r^2 +h^2 \\5^2=4^2+h^25 \\ sqrt{5^2-4^2}= h \\ 3 cm = h \\Volume \: of \: cone = \frac{1}{3} \pi r^2 h \\ Volume \: of \: cone = \frac{1}{3} \times 3.14 \times 4^2 \times 3 \\ Volume \: of \: cone = 50.24cm \: ^3$

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Answer 2

AnSwer -:

Volume of cone is 50.24 cm^3

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Explanation-:

Volume of a cone -:

“V = 1/3 x π x r^2 x h”

V = Volume

π = 22/7 or 3.14

H = height

R =Radius

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Given ,

Radius of cone -: 4 cm

Slant height of cone = 5 cm

To find ,

The volume of a cone.

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So ,

H = Height of a cone = ??

Then ,


Radius of cone = r = -: 4 cm

Slant height of cone= l = = 5 cm

Now ,

Applying Pythagoras theorem

l ^2 = r^2 + h^2

5 ^2 = 4^2 + h^2

H = √5^2 - 4^2

H = √25 - 16

H = √9

H = 3

Therefore,

Height of the cone is 3 cm

Now ,


Volume of a cone -:

“V = 1/3 x π x r^2 x h”

V = Volume = ??

π = 22/7 or 3.14

H = height = 3 cm

R =Radius= 4 cm

Then ,

1/3 x π x 4^2 x 3

= 1/3 x 3.14 x 4 x 4 x 3

= 3.14 x 4 x 4

= 3.14 x 12

= 50.24 cm^3

Hence ,

Volume of cone is 50.24 cm^3

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Cone -:A cone is a shape or object that

has a round base and a point at the top.

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