Math, asked by rathinagiri231, 8 months ago

Volume of a right circular cone is 78848 cm. Its diameter is 56 cm . Find its slant height​

Answers

Answered by Anonymous
6

Given :

  • Volume of a right circular cone is 78848 cm. Its diameter is 56 cm

To find :

  • Find its slant height

Solution :

Volume of cone = ⅓πr²h

78848 = ⅓ x 22/7 x 28 x 28 x h

78848 = ⅓ x 22 x 4 x 28 x h

h = 96

slant height (l) = √r² + h²

= √28² + 96²

= 100 cm

Extra information :

Volume of cylinder = πr²h

T.S.A of cylinder = 2πrh + 2πr²

Volume of cone = ⅓ πr²h

C.S.A of cone = πrl

T.S.A of cone = πrl + πr²

Volume of cuboid = l × b × h

C.S.A of cuboid = 2(l + b)h

T.S.A of cuboid = 2(lb + bh + lh)

C.S.A of cube = 4a²

T.S.A of cube = 6a²

Volume of cube = a³

Volume of sphere = 4/3πr³

Surface area of sphere = 4πr²

Volume of Hemisphere = ⅔ πr³

C.S.A of hemisphere = 2πr²

T.S.A of hemisphere = 3πr²

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