Question

The volume of a solid hemisphere of radius 2 cm​

Answer 1

The volume of a solid hemisphere with radius r is given by the formula:

V = (2/3)πr^3

In this case, the radius of the hemisphere is 2 cm. Substituting this value into the formula, we get:

V = (2/3)π(2 cm)^3

V = (2/3)π(8 cm^3)

V = (16/3)π cm^3

Therefore, the volume of the solid hemisphere is (16/3)π cubic centimeters.

Answer 2

(16/3)π cm³ ≈ 16.76 cm³ (nearest hundredth)

Explanation:

The volume of a solid hemisphere is given by the formula:

`\boxed{V = (2)/(3)\pi r^3}`

where r is the radius of the hemisphere.

Substitute the given radius, r = 2 cm, into the formula, and solve for V:

`\begin{aligned}\implies V &= (2)/(3)\pi(2)^3\\\\&= (2)/(3)\pi \cdot 8\\\\&= (16)/(3)\pi\; \sf cm^3\end{aligned}`

Therefore, the volume of the solid hemisphere of radius 2 cm is (16/3)π cm³ or approximately 16.76 cm³ (nearest hundredth).