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

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.

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

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.

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

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.

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

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.