Question discussion

The height of a solid right circular cylinder is 32 cm. Its total surface area is 370π cm². Its volume is equal to 3/5 of the volume of a s…

3022Hard DSSSB TGT Computer Science 0 replies 2 views

The height of a solid right circular cylinder is 32 cm. Its total surface area is 370π cm². Its volume is equal to 3/5 of the volume of a sphere. The diameter of the sphere is:

A15 cm
B10 cm
C30 cm
D20 cm

Correct answer: D

Explanation

2πr(r + 32) = 370π gives r(r + 32) = 185, so r = 5 cm. Volume = π × 25 × 32 = 800π = (3/5)(4/3)πR³, so R³ = 1000 and R = 10 cm. The diameter is 20 cm.

Join the discussion Report an error

Discussion 0

Nobody has replied yet. Start the discussion!