Question

I want the answer to this please

Answer 1

Answer: The volume of the figure is 74.5 cm².

Step-by-step explanation:

In the given figure we have cylinder and cone.

The diameter of cylinder is 2.4 cm, therefore the radius is 1.2 and the height of the cylinder is 11 cm.

Volume of cylinder is,

`V_1=\pi r^2h`

`V_1=(3.14)* (1.2)^2* (11)`

`V_1=49.7376`

The radius of cone is 1.4 more than the radius of cylinder, therefore the radius of cone is 2.6 and the height of the cylinder is 3.5 cm.

Volume of cylinder is,

`V_2=(1)/(3)\pi r^2h`

`V_2=(1)/(3)* (3.14) *(2.6)^2* 3.5`

`V_2=24.7641`

The volume of the figure is,

`V=V_1+V_2`

`V=49.7376+24.7641=74.5017\approx 74.5`

Therefore, the volume of the figure is 74.5 cm².