A toy is in the form of a cone of radius 3.5 cm mounted on a hemisphere of same radius. If the total height of the toy is 15.5 cm, find the total surface area of the toy.
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Question

A toy is in the form of a cone of radius 3.5 cm mounted on a hemisphere of same radius. If the total height of the toy is 15.5 cm, find the total surface area of the toy.

KnowledgeBoat · Accepted Answer

The figure of the toy in the form of a cone surmounted on a hemisphere of same radius is shown below: Total height of the toy = 15.5 cm Radius of the base of the conical part (r) = 3.5 cm. Height of the cone = 15.5 - 3.5 = 12 cm. Slant height of the cone = l. l = Total surface area of the toy (T) = Curved surface area of cone + Curved surface area of hemisphere. Hence, the total surface area of the toy is 214.5 cm².

Mathematics

A toy is in the form of a cone of radius 3.5 cm mounted on a hemisphere of same radius. If the total height of the toy is 15.5 cm, find the total surface area of the toy.

Mensuration

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