Question

A cup is in the form of a hemisphere surmounted by a cylinder.The height of the cylindrical portion is 8cm and the total height of the cup is 11.5cm.The TSA of the cup is

Answer 1

TSA of cup= 2πr×r+2πrh+πr×r

Answer 2

The TSA of cup is 253 sq.cm.

Step-by-step explanation:

A cup is in the form of a hemisphere surmounted by a cylinder.

Height of cup = 11.5 cm

Height of cylinder = 8 cm

Height of hemisphere = Height of cup - Height of cylinder = 11.5-8=3.5 cm

Radius of hemisphere = 3.5 cm

Radius of cylinder = 3.5 cm

TSA of cup = CSA of cylinder+CSA of hemisphere

TSA of cup =$2 \pi rh + 2 \pi r ^2$

TSA of cup = $2 \times \frac{22}{7} \times 3.5 \times 8 + 2 \times \frac{22}{7} \times 3.5^2=253 cm^2$

Hence The TSA of cup is 253 sq.cm.

#Learn more:

If a metallic ball of radius 2.1 cm is put into a cylindrical cup full of water of radius 5cm and height 7cm ,then how much water is remaining in the cylindrical cup ?

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