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# Solution for Radii of Circular Ends of a Solid Frustum off a Cone Re 33cm and 27cm and Its Slant Height Are 10cm. Find Its Total Surface Area? - CBSE Class 10 - Mathematics

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ConceptSurface Area of a Combination of Solids

#### Question

Radii of circular ends of a solid frustum off a cone re 33cm and 27cm and its slant height are 10cm. find its total surface area?

#### Solution

Given that ,

The radii of the bottom and top circle are r1 = 33 cm and r2 = 27 cm

The slant height of the frustum cone

l = 10 cm

The total surface area of the frustum cone

S=pi(r_1+r_2)xxl+pi r_1^2+pi r_2^2

=22/7xx(33+27)xx10+22/7xx33^2+22/7xx27^2

= 22/7xx600+22/7xx1089+22/7xx729

=22/7(600+1089+729)

=22/7xx2418

= 7599.42 cm2

Hence, the total surface area of the frustum cone is 7599.42 cm2

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#### APPEARS IN

RD Sharma Solution for 10 Mathematics (2018 to Current)
Chapter 14: Surface Areas and Volumes
Q: 14

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Solution Radii of Circular Ends of a Solid Frustum off a Cone Re 33cm and 27cm and Its Slant Height Are 10cm. Find Its Total Surface Area? Concept: Surface Area of a Combination of Solids.
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