Question

WILL REWARD BRAINIEST! What is the volume of the composite figure if both the height and the diameter of the cylinder are 10.5 feet? Give the exact answer and approximate to two decimal places.

Answer 1

Answer:

908.74

Step-by-step explanation:

The formula for the volume of a cylinder is V = h * pi * r^2

h is height, r is radius, and pi is 3.14. The radius is half of the diameter, so that would make the radius 5.25.

So now plug it into the formula:

V = 10.5 * pi * (5.25)^2

= 908.74

Hope this helped! :)

Answer 2

Answer:

1211.65 cubed ft.

Step-by-step explanation:

Half sphere: V = 4/3(3.24)(5.25^3)

V = 605.82

Divide by two since we need to find the volume of the half sphere, not the full sphere.

605.82 ÷ 2 = 302.91

Cylinder: V = (3.14)(5.25^2)(10.5)

V = 908.74

Add the two volumes to each other to find the total volume of the composite figure.

908.74 + 302.91 = 1211.65