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The height of a right circular cylinder with lateral surface area 792 sq cm is 21 cm. The diameter of the base is:
  • a)
    12 cm
  • b)
    3 cm
  • c)
    24 cm
  • d)
    6 cm
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
The height of a right circular cylinder with lateral surface area 792 ...
Given: Lateral surface area of cylinder = 792 sq cm, Height of cylinder = 21 cm

To find: Diameter of the base of the cylinder

Concept Used: Lateral surface area of a right circular cylinder is given by 2πrh, where r is the radius of the base and h is the height of the cylinder

Calculation:

Let the radius of the cylinder be 'r' cm

Lateral surface area of cylinder = 2πrh

Given, Lateral surface area of cylinder = 792 sq cm and Height of cylinder = 21 cm

Thus, 2πrh = 792

Substituting the value of h = 21 cm, we get:

2πr(21) = 792

Simplifying and solving for 'r', we get:

r = 6 cm

Diameter of the base of the cylinder = 2r = 2 x 6 cm = 12 cm

Therefore, the correct option is (a) 12 cm.
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The height of a right circular cylinder with lateral surface area 792 sq cm is 21 cm. The diameter of the base is:a)12 cmb)3 cmc)24 cmd)6 cmCorrect answer is option 'A'. Can you explain this answer?
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