1 Answer

Bhavesh Chauhan · Answer 1 · 2023-10-27T05:31:19+0000

The volume of a sphere is calculated as follows:

$V=(4)/(3)\pi r^3$

where r is the radius of the sphere.

Substituting with r = 5 cm, we get:

$\begin{gathered} V=(4)/(3)\cdot\pi\cdot5^3 \\ V=(4)/(3)\cdot\pi\cdot125 \\ V=523.3\operatorname{cm}^3 \end{gathered}$

The volume of a right circular cone is calculated as follows:

$V=\pi r^2(h)/(3)$

where h is the height of the cone.

Substituting with r = 5 cm, and h = 11 cm, we get:

$\begin{gathered} V=\pi\cdot5^2\cdot(11)/(3) \\ V=\pi\cdot25\cdot(11)/(3) \\ V=287.8\operatorname{cm}^3 \end{gathered}$

The volume of the cone is less than the volume of the sphere, then the

entire volume of the frozen yogurt cannot fit completely inside the

cone.

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