Find the volume of a cylinder with a radius of 3 inches and a height of 5 inches.

Find the volume of the cylinder.

V represents...

The red line is representing ______________ in the below picture.

When you are given the diameter, you can find the radius by,

A cone has the radius of 156 cm and the height of 294 cm. Find the volume of the cone. Round your answer to the nearest tenth.

Since, we have derived an expression for volume of the cone as . Then, calculate the volume of the cone using the given data.
Given that:
Radius of the data = 156 cm
Height of the cone = 294 cm
Hence, The volume of the cone = 
=
=7488673.93 cm³.
Therefore, Volume of the cone is 7488673.93 cubic centimeters.

A cone has the radius of 0.8 meters and the height of 1.6 meters. Find the volume of the cone. Round your answer to the nearest tenth.

Since, we have derived an expression for volume of the cone as  . Then, calculate the volume of the cone using the given data.
Given that:
Radius of the cone = 0.8 meters
Height of the cone = 1.6 meters
Hence, Volume of the cone = 
= 
= 1.0717 meters³.
Therefore, Volume of the cone is 1.0717 ~ 1.07(rounded off to nearest tenth) cubic meters.

A cone has the radius of 10.3 meters and the height of 4.5 meters. Find the volume of the cone. Round your answer to the nearest tenth.

Since, We have derived an expression for volume of the cone as  . Hence, evaluate volume of the cone using the given data in question.
Given that:
Radius of the cone = 10.3 meters
Height of the cone = 4.5 meters
Hence, Volume of the cone = 
=
=499.6839 meters³.
Therefore, The volume of the Cone is 499.6839 ~ 499.68 cubic meters.

A cone has the radius of 2 meters and the height of 5 meters. Find the volume of the cone. Round your answer to the nearest tenth.

Since, we have derived an expression for volume of a cone as . Then, Calculate the volume of a cone using the given data.
Given that:
Radius of a cone = 2 meters
Height of a cone = 5 meters
Hence, Volume of the cone = 
=
=20.93333 meters³.
Therefore, The volume of the cone is 20.9333 ~ 20.94(rounded off to nearest tenth) cubic meters.

The circumference of the base of the cone is 8.5π inches. Calculate the volume of the cone in terms of π. Round to the nearest hundredth.

Since, we have derived an expression for Volume of a cone and circumference of a circle. Obtain Volume of the cone accordingly as follows:

Given that:
Circumference of the base of a cone = 8.5 inches
Height of a cone = 15 inches
Hence, We know that Circumference of a base of a cone = 2
= 8.5
** Radius of base of a  cone (r) = 
Hence, Volume of a cone = 
= 
= 90.3125 inches³.
*** Volume of a cone is 90.3125 ~ 90.31 cubic inches.

A cone has the radius of 1.2 meters and the height of 3.5 meters. Find the volume of the cone. Round your answer to the nearest tenth.

Since, we have calculated the volume of a cone as . Hence, Obtain the volume of the cone using the given ^attributes of a cone given in the question.
Given that:
Radius of base of a cone = 1.2 meters
Height of the cone = 3.5 meters
Hence, Volume of the cone = 
=
=5.2752 meter³.
*** Volume of the cone is 5.2752 ~ 5.28 cubic meters when it is rounded off to it's nearest tenth.

A cylinder and a cone have congruent bases and heights. _____________ will be the relationship of the volumes of the two figures.

Assumption:
Let, radius and height of the cylinder and cone are equal.
Since, we have derived volume of cylinder as  and volume of cone .
Hence, = 
= 3;
***Volume of the cylinder = 3 Volume of the cone
Volume of the cylinder is three times the volume of the cone.

A cone has the radius of 2 inches and the height of 4 inches. Find the volume of the cone. Round your answer to the nearest tenth.

Since, we have derived an expression for volume of a cone as . Substitute the given attributes to find the volume of a cone.
Given that:
Radius of base of a cone = 2 inches
Height of a cone = 4 inches
Hence, Volume of a cone = 
=
=16.7467 inches³.
*** Volume of a cone is 16.7567 ~ 16.76 cubic inches.

A cone has the radius of 10 inches and the height of 9 inches. Find the volume of the cone. Round your answer to the nearest tenth.

Since, we have derived an expression for volume of a cone as  . Hence, calculate any attribute of a structure using the given data.
Given that:
Radius of a cone :  10 inches
Height of a cone :   9 inches
Hence, the volume of a cone = 
=
=942.4876 inches³.
Hence, volume of a cone is 942.4876 ~ 942.49 cubic inches.

A cone has the radius of 6 inches and the height of 5 inches. Find the volume of the cone. Round your answer to the nearest tenth.

Since, we have derived an expression for volume of a cone as r²h. Hence, just substitute values of a given attributes to find the volume of a cone.
Given that:
                  Radius of base of a cone = 6 inches
                   Height of base of a cone = 5 inches
Hence, Volume of a cone = r²h
                                         =
                                         =188.49 inches³.
***Volume of a cone is 188.49 cubic inches.

Find the volume of corn held in this cone-shaped grain silo. Use 3.14 for π and round to the nearest cubic foot.

Since, we have derived an expression for volume of a cone as  . hence, substituting the values of radius and slant height values we can obtain volume of a cone easily.

Given that:
Slant height of a cone (l) = 10 feet
Radius of a cone (r) = 5 feet
Hence, volume of a cone is =   
=
=
= 301.44 feet³.
Hence, Volume of a cone is 301.44 ~ 301 cubic feet.