A solid spherical item is melted into the shape of a cylinder mounted by a cone having the same radius. The diameters of the cylinder and sphere are 21 cm each. What is the height (in cm) of the cone if the height of the cylinder is 7 cm? (Take )
Show answer & explanation
Correct answer: A
Explanation
The correct answer is Option 1 i.e. 21.
Radius = 10.5 cm
Volume of sphere = Volume of cylinder + cone
⇒
⇒ 14 = 7 +
⇒ h = 21 cm