A right cylinder has a radius of 2 units and a height of 5 units.

A right cylinder has a radius of 2 units and a height of 5 units.

What is the volume of the cylinder? Round to the nearest tenth.

a

31.4 cubic units

b

62.8 cubic units

c

157.1 cubic units

d

314.2 cubic units

The correct answer is option (b) 62.8 cubic units

Step-by-step explanation:

Solution

Recall that,

A right cylinder has a radius of = 2 units

Height of = 5 units

Now,

We define the volume of a cylinder, which is represented below.

Recall that,

A right cylinder has a radius of = 2 units

Height of = 5 units

Now,

We define the volume of a cylinder, which is represented below.

Volume of the cylinder is defined as = base * height

The base=Pi*radius*radius, or π * r

Where,

The base=3.1416*2*2,

The height=5

Thus,

The Volume=3.1416*2*2*5

Volume = 62.8 cubic units.

Therefore the volume of the cylinder is 62.8 cubic units. of the cylinder is = base * height

The base=Pi*radius*radius, or π * r

Where,

The base=3.1416*2*2,

The height=5

Thus,

The Volume=3.1416*2*2*5

Volume = 62.8 cubic units.

Therefore the volume of the cylinder is 62.8 cubic units.

The volume of the cylinder is 62.8 cubic units.

Step-by-step explanation:

The volume of a cylinder is given by the following formula:

volume = (base area) * h

base area = pi*r²

volume = pi*r²*h

In order to solve this problem we need to apply the data given to the formula above as shown below:

volume = 3.14 * (2) ²*5 = 3.14*4*5

volume = 62.8 cubic units

The volume of the cylinder is 62.8 cubic units.