Question

Find the volume of the cylinder.- Use 3.14 for pi
(slant hight 8) (radius 3) (hight 6)

Answer 1

A jar of peanut butter has a height of 16 centimeters and a width of 10 centimeters. Find the volume of the peanut butter jar. Use 3.14 for p

Answer 2

A jar of salsa has a height of 6 inches and a radius of 2 inches. Find the volume of the salsa jar. Use 3.14 for pi

Answer 3

A water tower has a height of 25 meters and a width of 16 meters. What is the volume of the water tower? Use 3.14 for p

Answer 4

To find the volume of a cylinder, we use the formula:

\[
V = \pi r^2 h
\]

where:
- \( V \) is the volume,
- \( r \) is the radius of the base,
- \( h \) is the height of the cylinder.

Based on your question, the relevant measurements for the cylinder are:
- Radius (\( r \)) = 3
- Height (\( h \)) = 6

Now, using \( \pi = 3.14 \):

\[
V = 3.14 \times (3)^2 \times 6
\]

First, calculate \( (3)^2 \):

\[
(3)^2 = 9
\]

Then, substitute this back into the volume formula:

\[
V = 3.14 \times 9 \times 6
\]

Now calculate \( 9 \times 6 \):

\[
9 \times 6 = 54
\]

Now substitute this value:

\[
V = 3.14 \times 54
\]

Finally, calculate \( 3.14 \times 54 \):

\[
V = 169.56
\]

So, the volume of the cylinder is \( 169.56 \) cubic units.

Answer 5

To find the volume of a cylindrical jar of peanut butter, we can use the formula for the volume of a cylinder:

\[
V = \pi r^2 h
\]

Where:
- \( V \) is the volume,
- \( r \) is the radius of the base,
- \( h \) is the height of the cylinder.

Given:
- Height (\( h \)) = 16 cm
- Width = 10 cm (which is the diameter, so the radius \( r \) is half of that)

First, calculate the radius:

\[
r = \frac{\text{diameter}}{2} = \frac{10}{2} = 5 \text{ cm}
\]

Now, substitute the radius and height into the volume formula. Using \( \pi = 3.14 \):

\[
V = 3.14 \times (5)^2 \times 16
\]

Calculate \( (5)^2 \):

\[
(5)^2 = 25
\]

Now substitute this value back into the volume formula:

\[
V = 3.14 \times 25 \times 16
\]

Next, calculate \( 25 \times 16 \):

\[
25 \times 16 = 400
\]

Now substitute back into the formula:

\[
V = 3.14 \times 400
\]

Finally, calculate \( 3.14 \times 400 \):

\[
V = 1256
\]

Thus, the volume of the peanut butter jar is \( 1256 \) cubic centimeters.

Answer 6

To find the volume of a cylindrical jar of salsa, we will use the formula for the volume of a cylinder:

\[
V = \pi r^2 h
\]

Where:
- \( V \) is the volume,
- \( r \) is the radius of the base,
- \( h \) is the height of the cylinder.

Given:
- Height (\( h \)) = 6 inches
- Radius (\( r \)) = 2 inches

Using \( \pi = 3.14 \):

Now, substitute the values into the volume formula:

\[
V = 3.14 \times (2)^2 \times 6
\]

First, calculate \( (2)^2 \):

\[
(2)^2 = 4
\]

Next, substitute this back into the formula:

\[
V = 3.14 \times 4 \times 6
\]

Now calculate \( 4 \times 6 \):

\[
4 \times 6 = 24
\]

Substituting this value gives:

\[
V = 3.14 \times 24
\]

Finally, calculate \( 3.14 \times 24 \):

\[
V = 75.36
\]

Thus, the volume of the salsa jar is \( 75.36 \) cubic inches.

Answer 7

To find the volume of a cylindrical water tower, we use the formula for the volume of a cylinder:

\[
V = \pi r^2 h
\]

Where:
- \( V \) is the volume,
- \( r \) is the radius of the base,
- \( h \) is the height of the cylinder.

Given:
- Height (\( h \)) = 25 meters
- Width = 16 meters (which is the diameter, so the radius \( r \) is half of that)

First, calculate the radius:

\[
r = \frac{\text{diameter}}{2} = \frac{16}{2} = 8 \text{ meters}
\]

Now substitute the radius and height into the volume formula, using \( \pi = 3.14 \):

\[
V = 3.14 \times (8)^2 \times 25
\]

First, calculate \( (8)^2 \):

\[
(8)^2 = 64
\]

Now substitute back into the formula:

\[
V = 3.14 \times 64 \times 25
\]

Next, calculate \( 64 \times 25 \):

\[
64 \times 25 = 1600
\]

Now substitute this back into the formula:

\[
V = 3.14 \times 1600
\]

Finally, calculate \( 3.14 \times 1600 \):

\[
V = 5024
\]

Thus, the volume of the water tower is \( 5024 \) cubic meters.