Question

The foundation for a cylindrical storage shed is a cylinder 29 yd in diameter and 5 yd high. How many cubic yd of concrete are needed to build the foundation?

a. 910.6 yd³
b. 13,203.7 yd³
c. 6601.9 yd³
d. 3300.9 yd³

Answer 1

c. 6601.9 yd³

Explanation:

we can use the formula: V = πr^2h, for the volume of a cylinder where V is the volume, r is the radius, and h is the height.

The diameter of the cylinder is 29 yards,

we can find the radius by dividing the diameter by 2:

r = 29 yards / 2 = 14.5 yards.

The cylinder height is 5 yards.

so,

we can substitute these values into the formula: V = π(14.5 yards) ^ 2 * 5 yards.

calculating/solving this we get V ≈ 6601.9 cubic yards.

:)

Answer 2

Explanation:

The formula for the volume of a cylinder is

�

=

�

�

2

ℎ

V=πr

2

h, where

�

r is the radius and

ℎ

h is the height.

Given:

Diameter = 29 yards

Radius (

�

r) = Diameter / 2 = 29 yards / 2 = 14.5 yards

Height (

ℎ

h) = 5 yards

Let's calculate the volume:

�

=

�

×

(

14.5

)

2

×

5

V=π×(14.5)

2

×5

�

≈

3.14

×

210.25

×

5

V≈3.14×210.25×5

�

≈

3296.25

 

cubic yards

V≈3296.25cubic yards

Rounded to one decimal place, the volume needed for the foundation is approximately 3296.3 cubic yards. None of the provided options match this calculated value exactly. The closest option is not an exact match but d. 3300.9 yd³ is the closest to the calculated value.