A vertical cylindrical container is filled with oil. A solid hemispherical…
2025
A vertical cylindrical container is filled with oil. A solid hemispherical stone of radius 7 cm is immersed
completely, and the oil level rises by 3 cm. What is the radius of the cylinder?
- A.
6.29 cm
- B.
7.43 cm
- C.
8.73 cm
- D.
11.41 cm
Show answer & explanation
Correct answer: C
Volume of the immersed hemisphere = (2/3) x pi x 7^3 = 686pi/3.
This equals the rise in cylinder volume: pi x R^2 x 3.
So R^2 = 686/9 and R is approximately 8.73 cm.