A tent is in the form of a cylinder of diameter 20 m and height 2.5 m, surmounted by a cone of equal base and height 7.5 m. Find the capacity of the tent and the cost of the canvas at Rs 100 per square metre.

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Solution

Given that:

Radius of the base

Height of the cylinder

Height of the cone

Slant height of the cone

The total capacity of the tent is given by

The total area of canvas required for the tent is

Therefore, the total cost of the canvas is

Hence, the total capacity and cost is

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A tent is in the form of a cylinder of diameter 20 m and height 2.5 m, surmounted by a cone of equal base and height 7.5 m. Find the capacity of the tent and the cost of the canvas at Rs 100 per square metre.

Given that: Radius of the base Height of the cylinder Height of the cone Slant height of the cone The total capacity of the tent is given by The total area of canvas required for the tent is Therefore, the total cost of the canvas is Hence, the total capacity and cost is

Given that:

Radius of the base

Height of the cylinder

Height of the cone

Slant height of the cone

The total capacity of the tent is given by

The total area of canvas required for the tent is

Therefore, the total cost of the canvas is

Hence, the total capacity and cost is