Question

Ice Cream: An ice-cream cone has a radius of 2.6 cm and a height of 6.8 cm. The cone is filled with ice-cream and one additional scoop in the shape of a sphere with the same radius as the cone is placed on top. What is the amount of ice cream in cubic cm? Round to the nearest hundredth.

Answer 1

Given:

Radius of cone is 2.6 cm and height is 6.8 cm.

The volume of cone is given as,

`\begin{gathered} V_C=\pi* r^2*(h)/(3) \\ V_C=\pi*(2.6)^2*(6.8)/(3) \\ V_C=(45.968\pi)/(3) \end{gathered}`

Also, the radius of sphere is 2.,6 cm

`\begin{gathered} V_S=(4)/(3)*\pi* r^3 \\ V_S=(4)/(3)*\pi*(2.6)^3 \\ V_S=(70.304\pi)/(3) \end{gathered}`

The total volume is,

`\begin{gathered} V=V_C+V_S \\ V=(45.968\pi)/(3)+(70.304\pi)/(3) \\ V=(116.272\pi)/(3) \\ V=121.760\text{ cubic cm} \end{gathered}`

Answer: There are 121.760 cubic cm of ice cream.