Find the volume of the cylinder, in cubic millimeters. Round your answer to the nearest hundredth.

h=13mm r=8mm

The volume of a cylinder can be found using the formula V = πr^2h, where r is the radius and h is the height.

Given that r = 8mm and h = 13mm, we can substitute these values into the formula:

V = π(8mm)^2(13mm)
= π(64mm^2)(13mm)
≈ 26794.79mm^3

Rounding to the nearest hundredth, the volume of the cylinder is approximately 26794.79 cubic millimeters.

that feels like too many millimeters

Apologies for the mistake. Let's recalculate the volume correctly:

Using the formula V = πr^2h, with r = 8mm and h = 13mm:

V = π(8mm)^2(13mm)
= π(64mm^2)(13mm)
≈ 26796.86mm^3

Rounding to the nearest hundredth, the volume of the cylinder is approximately 26796.86 cubic millimeters.

A water bottle has a height of 16 inches and a radius of 4 inches. What is the volume, in cubic inches, of the water bottle? Use 3.14 for pi. (1 point)

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

Given that r = 4 inches and h = 16 inches, we can substitute these values into the formula:

V = 3.14(4 inches)^2(16 inches)
= 3.14(16 square inches)(16 inches)
= 3.14(256 square inches)
= 804.16 cubic inches

Therefore, the volume of the water bottle is approximately 804.16 cubic inches.

Find the volume, in cubic inches, of a cone with a radius of 13 inches and a height of 27 inches. Round your answer to the nearest hundredth. Use 3.14 for pi.(1 point)

The formula to calculate the volume of a cone is V = (1/3)πr^2h, where r is the radius and h is the height.

Given that r = 13 inches and h = 27 inches, we can substitute these values into the formula:

V = (1/3)(3.14)(13 inches)^2(27 inches)
= (1/3)(3.14)(169 square inches)(27 inches)
≈ 24,914.46 cubic inches

Rounding to the nearest hundredth, the volume of the cone is approximately 24,914.46 cubic inches.

A cone-shaped container on a farm is used for storing animal feed. The container has a radius of 4 feet and a height of 12 feet. What volume of feed, in cubic feet, can the container store? Round your answer to the nearest hundredth. Use 3.14 for π .(1 point)

The formula to calculate the volume of a cone is V = (1/3)πr^2h, where r is the radius and h is the height.

Given that r = 4 feet and h = 12 feet, we can substitute these values into the formula:

V = (1/3)(3.14)(4 feet)^2(12 feet)
= (1/3)(3.14)(16 square feet)(12 feet)
≈ 201.06 cubic feet

Rounding to the nearest hundredth, the container can store approximately 201.06 cubic feet of feed.

The diameter of a sphere(1 point)

Responses

is half the length of the radius.
is half the length of the radius.

does not pass through the center of the sphere.
does not pass through the center of the sphere.

is the distance from the center of the sphere to any point on the surface of the sphere.
is the distance from the center of the sphere to any point on the surface of the sphere.

is the longest distance on a sphere.