#### 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 r_{1} = 33 cm and r_{2} = 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 cm^{2}

Hence, the total surface area of the frustum cone is 7599.42 cm^{2}

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#### APPEARS IN

Solution for 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? concept: Surface Area of a Combination of Solids. For the course CBSE