A hemisphere is kept on a cube of side 14 cm. The surface of the hemisphere fits perfectly over the cube's top face. Then find the total volume of the figure?
Answer & explanation
Correct answer: option 1
since the surface of the hemisphere fits perfectly over the cube;
diameter of hemisphere = side of cube
⇒ = 14 cm
⇒ volume of their figure = \(\frac{2}{3}\) \(\pi \)r3 + (side)3
= \(\frac{2}{3}\) × \(\frac{22}{7}\) × (7)3 + (14)3
= 718.66 + 2,744 = 3,462.66 cm3