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find the volume, in cubic inches, of a cylinder with a diameter of 16 inches and a height of 7 inches. Use 3.14 pi. Round your answer to the nearest hundredth

__ cubic inches

9 answers

To find the volume of a cylinder, you can use the formula:

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

where:

  • \(V\) is the volume,
  • \(r\) is the radius, and
  • \(h\) is the height.

First, we need to calculate the radius. The diameter of the cylinder is given as 16 inches, so the radius is:

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

Next, we will substitute the values into the volume formula:

\[ V = 3.14 \times (8)^2 \times 7 \]

Calculating \(8^2\):

\[ 8^2 = 64 \]

Now substituting back into the formula:

\[ V = 3.14 \times 64 \times 7 \]

Calculating \(64 \times 7\):

\[ 64 \times 7 = 448 \]

Now substituting into the volume formula:

\[ V = 3.14 \times 448 \]

Calculating \(3.14 \times 448\):

\[ V = 1406.72 \]

Therefore, the volume of the cylinder is:

\[ \boxed{1406.72} \text{ cubic inches} \]

A 3 D cylinder shows a base radius of 3 centimeters and perpendicular height of 5 centimeters. A right angle is formed at the center of the base.

find the volume of the cylinder, in cubic centimeters, Use 3.14 for pi. Round your answer to the nearest tenth

__ cubic centimeters

To find the volume of a cylinder, you can 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.

Given the radius \(r = 3\) centimeters and the height \(h = 5\) centimeters, we can substitute these values into the formula:

\[ V = 3.14 \times (3)^2 \times 5 \]

Calculating \(3^2\):

\[ 3^2 = 9 \]

Now substituting back into the volume formula:

\[ V = 3.14 \times 9 \times 5 \]

Calculating \(9 \times 5\):

\[ 9 \times 5 = 45 \]

Now substituting into the volume formula:

\[ V = 3.14 \times 45 \]

Calculating \(3.14 \times 45\):

\[ V = 141.3 \]

Therefore, the volume of the cylinder is:

\[ \boxed{141.3} \text{ cubic centimeters} \]

A 3 D oblique cylinder shows a length of 10 meters and a perpendicular height of 7 meters. The base radius is 4 meters.

find the volume of the cylinder, in cubic meters. Use 3.14 for pi. Round your answer to the nearest hundredth

__ cubic meters

To find the volume of a cylinder, the formula you can use is:

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

where:

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

Given:

  • Radius \(r = 4\) meters,
  • Height \(h = 7\) meters.

Now, substitute these values into the volume formula:

\[ V = 3.14 \times (4)^2 \times 7 \]

First, calculate \(4^2\):

\[ 4^2 = 16 \]

Now, substitute back into the formula:

\[ V = 3.14 \times 16 \times 7 \]

Next, calculate \(16 \times 7\):

\[ 16 \times 7 = 112 \]

Now, substitute into the volume formula:

\[ V = 3.14 \times 112 \]

Finally, calculate \(3.14 \times 112\):

\[ V = 351.68 \]

Therefore, the volume of the cylinder is:

\[ \boxed{351.68} \text{ cubic meters} \]

a can of peas has a heigh of 6 inches and a radius of 3 inches. What is the volume, in cubic inches, of the can? Use 3.14 for pi.

__ cubic inches

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,
  • \(h\) is the height.

Given:

  • Radius \(r = 3\) inches,
  • Height \(h = 6\) inches.

Now, we can substitute these values into the volume formula:

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

First, calculate \(3^2\):

\[ 3^2 = 9 \]

Now, substitute back into the formula:

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

Next, calculate \(9 \times 6\):

\[ 9 \times 6 = 54 \]

Now, substitute into the volume formula:

\[ V = 3.14 \times 54 \]

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

\[ V = 169.56 \]

Therefore, the volume of the can of peas is:

\[ \boxed{169.56} \text{ cubic inches} \]

a gas tank has a heigh of 8 feet and a width of 6 feet. What is the volume, in cubic feet, of the gas tank? Use 3.14 for pi.

__ cubic feet

To find the volume of a cylindrical gas tank, we need the radius (or diameter) and the height. However, you've provided the width instead of the diameter or radius. The width of the tank can be considered the diameter.

Given:

  • Width (diameter) = 6 feet, so the radius \( r \) is:

\[ r = \frac{6}{2} = 3 \text{ feet} \]

  • Height \( h = 8 \) feet.

Now we can use the formula for the volume of a cylinder:

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

Substituting the values into the formula:

\[ V = 3.14 \times (3)^2 \times 8 \]

Calculating \( (3)^2 \):

\[ (3)^2 = 9 \]

Now substitute back into the volume formula:

\[ V = 3.14 \times 9 \times 8 \]

Calculating \( 9 \times 8 \):

\[ 9 \times 8 = 72 \]

Now substitute into the volume formula:

\[ V = 3.14 \times 72 \]

Finally, calculate \( 3.14 \times 72 \):

\[ V = 226.08 \]

Therefore, the volume of the gas tank is:

\[ \boxed{226.08} \text{ cubic feet} \]