Find the volume of the cylinder.- Use 3.14 for pi

Question

(slant hight 8) (radius 3) (hight 6)

Answer 1

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 2

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 3

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 4

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 5

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 6

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 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.