A toy is in the form of a cone mounted on a

hemisphere of radius 3.5 cm. The total height of the

toy is 15.5 cm. Find the total surface area and

volume of the toy. (Taker )

hemisphere of radius 3.5 cm. The total height of the

toy is 15.5 cm. Find the total surface area and

volume of the toy. (Taker )

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## Answers & Comments

Step-by-step explanation:height of a cone = 15.5cm - 3.5cm

= 12cm

l =

=12.5cm

T.S.A of cone =

= 22/7 × 3.5 × 12 + 2× 22/7 × r×r

214.5cm*

Answer:We have,

Radius of cone = Radius of hemisphere = 3.5 cm.

Height of the toy = 15.5 cm

To calculate the CSA of cone we have to find first the Slant Height of the cone :]

Slant Height = h² + r²

Slant Height = (15.5)² + (3.5)²

Slant Height = 12.25 + 144

Slant Height = 156.25 cm²

Slant Height = 12.5 cm

Now, we will calculate the TSA of the toy :

➳ TSA of toy = CSA of hemisphere + CSA of cone

➳ TSA of toy = 2πr² + πrl

➳ TSA of toy = 2π(3.5)² + π(3.5)(12.5)

➳ TSA of toy = 24.5π + 43.75π

➳ TSA of toy = 68.25π

➳ TSA of toy = 68.25 * 22/7

➳

TSA of toy = 214.5 cm²