Math, asked by st479723, 1 month ago

Find the volume of right circular cone of radius 6cm and height 7cm

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Answers

Answered by aashooborah
3

.

Here,

r=6cm and h=7cm

Volume of right circular cone =

3

1

πr

2

h

=

3

1

×

7

22

×(6)

2

×7

=

3

1

×22×36

=264cm

Answered by Anonymous
35

Answer:

Given :-

  • A right circular cone of radius 6 cm and height 7 cm.

To Find :-

  • What is the volume of right circular cone.

Formula Used :-

\clubsuit Volume Of A Right Circular Cone Formula :

\mapsto \sf\boxed{\bold{\pink{Volume_{(Cone)} =\: \dfrac{1}{3}{\pi}r^2h}}}

where,

  • π = pie or 22/7
  • r = Radius
  • h = Height

Solution :-

Given :

  • Radius (r) = 6 cm
  • Height (h) = 7 cm

According to the question by using the formula we get,

\longrightarrow \sf Volume_{(Cone)} =\: \dfrac{1}{3} \times \dfrac{22}{7} \times (6)^2 \times 7

\longrightarrow \sf Volume_{(Cone)} =\: \dfrac{1}{3} \times \dfrac{22}{7} \times 6 \times 6 \times 7

\longrightarrow \sf Volume_{(Cone)} =\: \dfrac{1}{3} \times \dfrac{22}{7} \times 36 \times 7

\longrightarrow \sf Volume_{(Cone)} =\: \dfrac{22}{\cancel{21}} \times {\cancel{252}}

\longrightarrow \sf Volume_{(Cone)} =\: 22 \times 12

\longrightarrow \sf\bold{\red{Volume_{(Cone)} =\: 264\: cm^3}}

{\small{\bold{\underline{\therefore\: The\: volume\: of\: right\: circular\: cone\: is\: 264\: cm^3\: .}}}}

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