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 a cup is 11.5 cm find the surface area of the cup​

Answer 1

Answer:

Step-by-step explanation:

Given:-

Height of the cylinder = 8 cm

Total height of the cup = 11.5 cm

Height of hemisphere = 11.5 - 8 = 3.5 cm

Radius of hemisphere = 3.5 cm

To Find :-

Surface Area of cup = ??

Formula to be used :-

Curved surface area of hemisphere = 2πr²

Total surface of a cylinder = 2πr(h + r)

Solution :-

Putting the values, we get

Total surface area of the cup = Total surface area of cylinder + Curved surface area of hemisphere

Total surface area of the cup = 2πr(h + r) + 2πr  

Total surface area of the cup = 2πr(h + 2r)

Total surface area of the cup = 2π × 3.5(8 + 2 × 3.5)

Total surface area of the cup = 7π(15)

Total surface area of the cup = 7 × 22/7 × 15

Total surface area of the cup = 329.86 cm²  

Hence, the surface area of the cup​ is 329.86 cm² .

Answer 2

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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 a cup is 11.5 cm.

Find the surface area of the cup.

SOLUTION :

From the above Question, we can gather the following information...

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 a cup is 11.5 cm.

So,

Radius = 11.5 cm - 8 cm = 3.5 cm.

TSA of cup.= 2πr ( r + h ) + 2πr

=> 2 × 22 / 7;× 7 / 2 ( 7 / 2 + 8 ) + 2 × 22 / 7 × 7 / 2

=> 329.9 cm ^ 2 approximately.

So,

The surface area of the cup is 329.9 cm ^ 2 approximately..

ANSWER :

The surface area of the cup is 329.9 cm ^ 2 approximately..