Question

Find the radius and height of a cylinder whose curved surface area is 110 CM square and the circumference of the base is 22 CM

Answer 1

Answer:

Radius of cylinder = 7/2 cm

Height of cylinder = 5 cm

Step-by-step explanation:

Given---> Curved surface area of cylinder is 110 cm² and circumference of the base is 22cm.

To find--->Radius and height of cylinder

Solution---> Let, radius and height of the cylinder be r and h respectively.

ATQ, Circumference of base = 22cm

=> 2 π r = 22

=> r = 22 / 2π

=> r = 22 / { 2 ( 22/ 7 ) }

=> r = 22 × 7 / 44

=> r = 7 / 2

Now, ATQ,

Curved surface area = 110 cm²

2 π r h = 110

=> 2 × ( 22 / 7 ) × ( 7 / 2 ) × h = 110

=> 22 h = 110

=> h = 110 / 22

=> h = 5 cm

Additional information--->

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

2) Volume of cylinder = π r² h

3) Volume of cone = ( 1 / 3 ) π r² h

4) Curved surface area of cone = π r l

5) Total surface area of cone = π r ( r + l )

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Answer 2

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