# A wooden toy is in the form of a cone surmounted on a hemisphere. The diameter of the base of the cone is 16 cm, and its height is 15 cm. Find the cost of painting the toy at Rs. 7 per 100 cm2.

Concept Used: Surface Area of Hemisphere = 2πr2

Curved Surface Area of cone = πrl

Lateral length of the cone = √(h2 + r2)

Where, r = radius of hemisphere and cone, and l = slant height of the cone.

Given:

The radius of the hemisphere = 8 cm

Height of the cone = 15 cm

Explanation:

Let us find the lateral length of cone first,

Lateral length of the cone = √(h2 + r2) = √(152 + 82) = 17 cm

The total curved surface area of the toy = 2πr2 + πrl

The total curved surface area of the toy

The total curved surface area of the toy = 829.714 cm2

Cost of painting the toy at Rs. 7 per 100 cm2 = Rs. 58.08

Hence, the cost of painting the toy is Rs. 58.08.

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