Question

"The volume of a barn is given by the formula V = = r2h.

3. Find the height of the barn if V = 1507 and r = 5.
h = ______?

a) h = 19.17
b) h = 30.14
c) h = 57.15
d) h = 2.75

Answer 1

The height of the barn can be calculated by rearranging the given volume formula and solving for h. Using the values provided for volume and radius in the formula V = πr²h, the height is found to be 19.17 units, which is option (a).

Step-by-step explanation:

To calculate the height of the barn, we're given the formula for the volume of a cylinder V = πr²h where V is the volume, r is the radius, and h is the height. We know the volume V = 1507 cubic units and the radius r = 5 units. Plugging these values into the formula gives:

V = πr²h

1507 = π * (5²) * h

1507 = π * 25 * h

1507 = 78.54 * h

To find h, divide both sides by 78.54:

h = 1507 / 78.54

h = 19.17

Therefore, the height of the barn is 19.17 units, which corresponds to option (a).