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

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.

A cone has the radius of 5.5 inches and the height of 12 inches. Find the volume of the cone. Round your answer to the nearest tenth.

Since, we have derived the volume of the cone as r²h. Then, just substitute the given values and find the volume of the cone.
Given Data:
Radius of the cone = 5.5 inches
Height of the cone = 12 inches
Hence, Volume of the Cone = r²h
=
=379.64
***Volume of the cone is 379.64.. ~ 380.13 inches³.

Calculate the volume of a cone with a diameter of 30 feet and a height of 60 feet. Use 3.14 for π.

Since, we have derived the volume of the cone it is easy to find the volume from the given data.
Given That:
Diameter of a base of a cone = 30 feet
we know that 2Radius=Diameter then,
Radius of a base of a cone =15 feet
Height of a cone = 60 feet
From the volume of the cone = r²h
=
=14130 feet³

***Hence, the volume of a cone is 14130 cubic feet.

A cone has the radius of 2 cm and the height of 3 cm. Calculate the volume of the cone. Round your answer to the nearest tenth.

Since, we have derived the volume of a cone as r²h.
Given that:
Radius of a base of a cone : 2 cm
Height of a cone : 3 cm
Hence, Volume of a cone = r²h
= 
=12.571428 cubic cm.
* it may vary by taking different  values(3.14 for now).
**** Hence, the volume of a cone is 12.57(rounding off to it's nearest tenth).

A cone has the radius of 10 cm and the height of 8 cm. Find the volume of the cone. Round your answer to the nearest tenth.

Hence, We have derived an expression for an volume of the cone as r²h.
Given that:
radius of the base of a cone: 10 cm
height of a cone : 8 cm
Hence, Volume of a cone= r²h.
=
= 837.334 cubic cm
*** Volume of the con is 837.334 cubic cm.
* It may vary based on the value of  taken.(In general =3.14)

A cone with a radius of 5 inches has a volume of approximately 314 cubic inches. Which of the following best represents the height of the cone?

Since, We have derived volume of a cone as r²h.
Given that:
Radius of base = 5 inches
Volume of a cone = 314 cubic inches
*** From the formula of volume of a cone that we derived, height of a cone h can be retrieved as
h=
Height = 
= 12 inches
*** Height of a cone is 12 inches.

An ice cream cone that is 4 inches tall has an opening that is 8 inches across. Find the volume of the cone.

Hence, We have derived the volume of a cone that is r²h.
Given That:
Height of the Cone (h) = 4 inches
Diameter of the Base = 8 inches
We know in any Circle:
2Radius=Diameter
Then, Radius=4 inches.
Hence, Base area = r²
=3.1416
= 16.7467
Hence, The volume of a cone = Base Area  Height
=16.74674
=66.9868 ~67.02
Volume of Cone is 67.02 cubic inches.

A cone and a cylinder have the same diameter and height. How many times greater is the cylinder's volume than the cone's?

Since, We know the volume of a cylinder and volume of a cone, we can easily relate between them.
As, we seen before Volume of a Cylinder is given by : r²h
Similarly, Volume of the Cone is: r²h.
***Volume of a Cone = Volume of a Cylinder.
***Volume of a Cylinder = 3 Volume of Cone.
Hence, We can say that Volume of the Cylinder is Three times the volume of the Cone.

Mike created a cone that has a diameter of 8 feet and a height of 3 feet. Find the volume of this cone.

The Given Data:
Diameter of a circular base: 8 feet
We know 2radius=diameter. Then. radius=4 feet.
height of a cone = 3 feet.
Hence, Volume of a cone =  Area of a circular base  Height
Area of a circular base: r² = 3.14 4² = 50.24 ft² .
Volume of Cone = 50.243 = 50.24 ft³.
Hence, The volume of a cone is equal to the 50.24 cubic feet.

A cone has the radius of 7.5 cm and the height of 5 cm. The volume of the cone rounded to the nearest tenth is ____________.

A party hat has a volume of 75 cubic inches. If the radius is 5 inches, what is the height of the party hat?

Find the volume of the cone. (Round to the nearest integer.)