Question

12 cmFind the volume of this object.Use 3 for 7.Volume of a cylinder Volume of a coneV = arahTr? haV=3First let's calculate the volume of the cylinder.V = 7 [?]?Hint: Plug in the value of the radius.The diameter is 8. The radius is half this value.8 cmTT110 cmyea

Answer 1

ANSWER

736cm³

EXPLANATION

To find the volume of this object, we have to find the volume of the cylinder and the volume of the cone first. The radius of the cylinder is 4cm because the diameter is 8cm, its height is 12cm. Using 3 for π,

$V_{cylinder}=\pi\cdot r^2\cdot h=3\cdot4^2cm^2\cdot12\operatorname{cm}=576cm^3$

The height of the cone is 10cm and the radius is the same as the cylinder. Using 3 for π,

$V_{cone}=\frac{1}{3}\cdot\pi\cdot r^2\cdot h=\frac{1}{3}\cdot3\cdot4^2cm^2\cdot10\operatorname{cm}=160cm^3$

The volume of the object is the sum of the volumes of the cylinder and the cone,

$V=V_{cylinder}+V_{cone}=576cm^3+160cm^3=736cm^3$

Hence, the volume of this object is 736cm³.