Question

Find the volume of a cone with a height of 3.25 centimeters and
a diameter of 2.2 centimeters.

Answer 1

As per Provided Information

Height of cone h is 3.25 cm

Diameter of cone is 2.2 cm

• Radius = Diameter/2

Radius = 2.2/2

Radius = 1.1 cm

We have been asked to determine the volume of the cone .

Using Formulae

`\boxed{\bf \:Volume_((Cone)) = \cfrac{1}{3} \pi {r}^(2)h}`

Substituting the given value and let's solve it

`\sf\longrightarrow \: Volume_((Cone)) = \cfrac{1}{3} * 3.14 * {1.1}^(2) * 3.25 \\ \\ \\ \sf\longrightarrow \: Volume_((Cone)) = \cfrac{1}{3} * 3.14 * 1.21 * 3.25 \\ \\ \\ \sf\longrightarrow \: Volume_((Cone)) = \cfrac{1}{3} * 3.14 * 3.9325 \\ \\ \\ \sf\longrightarrow \: Volume_((Cone)) = \cfrac{1}{3} * 12.34805 \\ \\ \\ \sf\longrightarrow \: Volume_((Cone)) = \cfrac{12.34805}{3} \\ \\ \\ \sf\longrightarrow \: Volume_((Cone)) = 4.11 {cm}^(3)`

Therefore,

• Volume of the cone is 4.11 cm³ .