Question 1
A)Find the volume, in cubic inches, of a cylinder with a diameter of 16 inches and a height of 7 inches. Use 3.14 for pi. Round your answer to the nearest hundredth.(1 point)
$$ cubic inches
Question 2
A)
Use the image to answer the question.

Find the volume of the cylinder, in cubic centimeters. Use 3.14 for pi. Round your answer to the nearest tenth.
(1 point)
$$ cubic centimeters
Question 3
A)Use the image to answer the question.

Find the volume of the cylinder, in cubic meters. Use 3.14 for pi. Round your answer to the nearest hundredth.(1 point)
$$ cubic meters
Question 4
A)A can of peas has a height of 6 inches and a radius of 3 inches. What is the volume, in cubic inches, of the can? Use 3.14 for pi.(1 point)
$$ cubic inches
Question 5
A)A gas tank has a height 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.(1 point)
$$ cubic feet
1 answer
A) The volume of a cylinder is calculated by the formula V = πr^2h, where r is the radius and h is the height. Since the diameter is given, we first need to find the radius by dividing the diameter by 2.
Radius = 16 inches / 2 = 8 inches
Now, we can plug in the values into the formula:
V = 3.14 * 8^2 * 7 = 3.14 * 64 * 7 = 1406.72 cubic inches
Therefore, the volume of the cylinder is 1406.72 cubic inches.
Question 2
A) The volume of a cylinder is calculated by the formula V = πr^2h, where r is the radius and h is the height. Looking at the image, we can see that the radius is 2.5 cm and the height is 5 cm.
Now, we can plug in the values into the formula:
V = 3.14 * 2.5^2 * 5 = 3.14 * 6.25 * 5 = 98.125 cubic cm
Therefore, the volume of the cylinder is 98.125 cubic centimeters.
Question 3
A) The volume of a cylinder is calculated by the formula V = πr^2h, where r is the radius and h is the height. Looking at the image, we can see that the radius is 1m and the height is 2m.
Now, we can plug in the values into the formula:
V = 3.14 * 1^2 * 2 = 3.14 * 1 * 2 = 6.28 cubic meters
Therefore, the volume of the cylinder is 6.28 cubic meters.
Question 4
A) For a cylinder, the volume is calculated by the formula V = πr^2h, where r is the radius and h is the height. Given that the height is 6 inches and the radius is 3 inches, we can calculate the volume:
V = 3.14 * 3^2 * 6 = 3.14 * 9 * 6 = 169.56 cubic inches
Therefore, the volume of the can is 169.56 cubic inches.
Question 5
A) For a gas tank with a width of 6 feet and a height of 8 feet, we can calculate the volume of the tank using the formula for a cylinder: V = πr^2h, where r is the radius (half of the width in this case) and h is the height.
First, we find the radius:
Radius = 6 ft / 2 = 3 ft
Now, we can calculate the volume:
V = 3.14 * 3^2 * 8 = 3.14 * 9 * 8 = 226.08 cubic feet
Therefore, the volume of the gas tank is 226.08 cubic feet.