Sam knows the radius and height of a cylindrical can of corn. He stacks two identical cans and creates a larger cylinder. Which statement best describes the radius and height of the cylinder made of stacked cans?

It has the same radius and height as a single can.
It has the same radius as a single can but twice the height.
It has the same height as a single can but a radius twice as large.
It has a radius twice as large as a single can and twice the height.

It has the same radius as a single can but twice the height.

What is the volume of the figure below?

A cylinder with height 14 meters and radius 8 meters.
112 pi m3
224 pi m3
784 pi m3
896 pi m3

The volume of a cylinder is given by the formula V = πr^2h, where r is the radius and h is the height.

Using this formula, the volume of the cylinder can be calculated as V = π(8^2)(14) = 784π m^3.

Therefore, the correct answer is 784 pi m3.

Mia is calculating the volume of the cylinder below using the following work.

A cylinder with height of 47 meters and diameter of 35 meters.

mc018-2.jpg

What was Mia’s first error?
She confused the height and the diameter.
She forgot to include pi as a factor in the volume expression.
She applied the exponent before multiplying 17.5 and 47.
She squared 17.5 instead of 35.

Mia's first error was that she confused the height and the diameter.

What is the volume, to the nearest whole cubic inch, of a cylinder with a height of 10 inches and a radius of 8 inches? Use Pi = 3.14 and round your answer to the whole number.

cubic inches

The volume of a cylinder is given by the formula V = πr^2h, where r is the radius and h is the height.

Using this formula, the volume of the cylinder can be calculated as V = 3.14*(8^2)*10 = 2010.4 cubic inches.

Rounding this to the nearest whole number, the volume of the cylinder is approximately 2010 cubic inches.

Which statement is true about all cylinders?

The height is a vertical distance.
The diameter of a base is less than the height.
The radii of both bases are the same.
The area of a base is greater than 1 square unit.

The radii of both bases are the same.

What is the volume of the can below? Use Pi = 3.14 and round your answer to the nearest tenth.

A cylinder with height 96 millimeters and diameter of 66 millimeters.

cubic millimeters