Question

A cylinder has a radius of 10 m and a height of 8 m. What is the exact volume of the cylinder? 18π m³ 80π m³ 160π m³ 800π m³

Answer 1

The volume of cylinder is 800π m³.

Option 4 is correct.

Given:

• A cylinder has a radius of 10 m.
• Height of 8 m.

To find:

• What is the exact volume of the cylinder?

1. 18π m³
2. 80π m³
3. 160π m³
4. 800π m³

Solution:

Formula to be used:

Volume of cylinder :$\bf V = \pi {r}^{2} h$

here,

r: radius of cylinder

h: height of cylinder

Step 1:

It is given that,

radius of cylinder(r) = 10 m

height of cylinder(h) = 8 m

Step 2:

Put the values in formula of volume.

$V = \pi( {10)}^{2} \times 8$

or

$V = \pi \times 100 \times 8$

or

$\bf \red{V = 800\pi \: {m}^{3} }$

Thus,

Exact volume of cylinder is 800π m³.

Option 4 is correct.

Learn more:

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Answer 2

Given:

A cylinder is given with radius 10m and height 8m.

To Find:

The volume of cylinder?

Step-by-step explanation:

• The volume of a cylinder is given by = $\pi r^2h$

        Where r is the radius of the cylinder and h is the height of cylinder

         and the value of pi is 22/7.

• According to the question

        radius of the cylinder is 10m and the height of the cylinder is 8m.

• Put height and radius in the formula of volume of cylinder

        as options are given in π we will not put the value of π.

        the volume of cylinder = $\pi r^2h$

                                         $=\pi (10)^2\times 8$

                                         $=\pi \times 100 \times 8$

                                         $=(800\pi ) m^3$

        The volume of cylinder is $800\pi m^3$

• If we put the value of π then

        Volume of cylinder $= (800\times 3.14) m^3\\=2512 m^3$

The volume of the cylinder is $800\pi m^3$.