Question

What is the volume?

Answer 1

Answer:

1282.82ft³

Step-by-step explanation:

To find the volume of the entire shape, we first need to find the volume of the cone and the cylinder separately.

Let's begin by getting the volume of the cylinder.

The formula to find the volume of a cylinder is:

$V=\pi r^{2}h$

r = 7 ft

h = 6 ft

Let's plug in our values into the formula.

$V=\pi (7)^{2}6$

$V=\pi (49)6$

$V=\pi (294)$

$V=923.63$ft³

Now that we have the volume of our cylinder we need to find the volume of the cone.

The volume of the cone can be found by using the formula:

$V=\dfrac{1}{3}\pi r^{2}h$

Our variables for the cone are:

r = 7 ft

h = 7 ft

$V=\dfrac{1}{3}\pi (7)^{2}(7)$

$V=\dfrac{1}{3}\pi (49)(7)$

$V=\dfrac{1}{3}\pi (343)$

$V=\dfrac{1}{3}1077.57$

$V=359.19$ft³

Now that we found both of the volumes of the two shapes, we can then simply get the sum of both volumes to get the total volume of the shape.

Total Volume = 923.63ft³ + 359.19ft³

Total Volume = 1282.82ft³