Question

Find the Volume of the composite figure

Answer 1

75 for the volume of the composite figure

Explanation:

break up the cylinder and cone

search up (volume of cone) add the info and it should give you 50

search up (volume of cylinder) add the info and it should give you 25

add 50 and 25 which gives you 75

ur welcome :)

Answer 2

471 cm³

Explanation:

The composite figure is made up of:

• A cylinder with height of 2 cm and radius of 5 cm.
• A cone with height of 12 cm and base radius of 5 cm.

The equation for the volume of a cylinder is:

`\boxed{V_(\sf cylinder)=\pi r^2 h}`

where r is the radius and h is the height.

Therefore, the volume of the cylinder is:

`\begin{aligned}V_(\sf cylinder)&=3.14 \cdot 5^2 \cdot 2\\&=3.14 \cdot 25 \cdot 2\\&=78.5 \cdot 2\\&=157\; \sf cm^3\end{aligned}`

The equation for the volume of a cone is:

`\boxed{V_(\sf cone)=(\pi r^2 h)/(3)}`

where r is the radius and h is the height.

Therefore, the volume of the cone is:

`\begin{aligned}V_(\sf cylinder)&=(3.14 \cdot 5^2 \cdot 12)/(3)\\\\&=(3.14 \cdot 25 \cdot 12)/(3)\\\\&=(78.5 \cdot 12)/(3)\\\\&=(942)/(3)\\\\&=314\; \sf cm^3\end{aligned}`

The volume of the composite figure is the sum of the two volumes:

`\begin{aligned}V_(\sf composite\;figure)&=V_(\sf cylinder)+V_(\sf cone)\\&=157+314\\&=471\; \sf cm^3 \end{aligned}`