A cylinder has a circular base with a diameter of 12 ft. The height of the cylinder is 4 ft. What is the volume of the cylinder rounded to the nearest whole number? Use 3.14 for pi.

A.)452 ft3
B.) 1,809 ft3
C.)151 ft3
D.)603 ft3

Given:

A cylinder has a circular base with a diameter of 12 ft.

The height of the cylinder is 4 ft.

To find:

The volume of the cylinder.

Solution:

We have,

Height = 4 ft.

Diameter = 12 ft.

Radius = ft

           = ft

Volume of a cylinder is

Where, r is the base radius and h is the height of the cylinder.

Putting r=6 and h=4, we get

So, the volume of the cylinder is 452 cubic ft.

Therefore, the correct option is A.

rx and sx

step-by-step explanation:

m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°