Volume of first cone:
V1 = (1/3)πr1^2h1
V1 = (1/3)(3.14)(13^2)(30)
V1 = 5331.4 cubic feet
Volume of second cone:
V2 = (1/3)πr2^2h2
V2 = (1/3)(3.14)(9^2)(30)
V2 = 2544.6 cubic feet
Difference in volumes:
5331.4 - 2544.6 = 2786.8 cubic feet
Therefore, the difference in the volumes of the cones is 2786.8 cubic feet.
How much bigger is a the volume of a cone with radius of 13 feet and a height of 30 feet than a cone with radius of 9 feet and a height of 30 feet? Use 3.14 for π.
The difference in the volumes of the cones is____ cubic feet.
11 answers
Find the volume of a cone with radius of 25 feet and a height of 18 feet. Use 3.14 for π.
The volume of the cone is cubic feet.
The volume of the cone is cubic feet.
Volume of the cone formula is V = (1/3)πr^2h
Given:
Radius (r) = 25 feet
Height (h) = 18 feet
π = 3.14
Volume of the cone:
V = (1/3)(3.14)(25^2)(18)
V = (1/3)(3.14)(625)(18)
V = (1/3)(3.14)(11250)
V = (1/3)(35325)
V = 11775 cubic feet
Therefore, the volume of the cone is 11775 cubic feet.
Given:
Radius (r) = 25 feet
Height (h) = 18 feet
π = 3.14
Volume of the cone:
V = (1/3)(3.14)(25^2)(18)
V = (1/3)(3.14)(625)(18)
V = (1/3)(3.14)(11250)
V = (1/3)(35325)
V = 11775 cubic feet
Therefore, the volume of the cone is 11775 cubic feet.
Find the volume of a cone with diameter of 29 feet and a height of 24 feet. Use 3.14 for π.
The volume of the cone is cubic feet.
The volume of the cone is cubic feet.
First, we need to find the radius of the cone using the given diameter:
Radius (r) = 1/2 * diameter
r = 1/2 * 29
r = 14.5 feet
Now we can use the formula for the volume of a cone:
V = (1/3)πr^2h
Given:
Radius (r) = 14.5 feet
Height (h) = 24 feet
π = 3.14
Volume of the cone:
V = (1/3)(3.14)(14.5^2)(24)
V = (1/3)(3.14)(210.25)(24)
V = (1/3)(3.14)(5046)
V = (1/3)(15883.64)
V = 5294.5467 cubic feet (rounded to 4 decimal places)
Therefore, the volume of the cone is approximately 5294.5467 cubic feet.
Radius (r) = 1/2 * diameter
r = 1/2 * 29
r = 14.5 feet
Now we can use the formula for the volume of a cone:
V = (1/3)πr^2h
Given:
Radius (r) = 14.5 feet
Height (h) = 24 feet
π = 3.14
Volume of the cone:
V = (1/3)(3.14)(14.5^2)(24)
V = (1/3)(3.14)(210.25)(24)
V = (1/3)(3.14)(5046)
V = (1/3)(15883.64)
V = 5294.5467 cubic feet (rounded to 4 decimal places)
Therefore, the volume of the cone is approximately 5294.5467 cubic feet.
Find the surface area and volume of a sphere that has a radius of 72 inches. Use 3.14 for π. Do not round your answer.
The sphere's surface area is square inches.
The sphere's volume is cubic inches.
The sphere's surface area is square inches.
The sphere's volume is cubic inches.
Given:
Radius (r) = 72 inches
π = 3.14
Surface area of a sphere:
A = 4πr^2
A = 4(3.14)(72^2)
A = 4(3.14)(5184)
A = 4(16259.36)
A = 65037.44 square inches
Volume of a sphere:
V = (4/3)πr^3
V = (4/3)(3.14)(72^3)
V = (4/3)(3.14)(373248)
V = (4/3)(1172296.32)
V = 1563055.0933 cubic inches
Therefore, the sphere's surface area is 65037.44 square inches and its volume is 1563055.0933 cubic inches.
Radius (r) = 72 inches
π = 3.14
Surface area of a sphere:
A = 4πr^2
A = 4(3.14)(72^2)
A = 4(3.14)(5184)
A = 4(16259.36)
A = 65037.44 square inches
Volume of a sphere:
V = (4/3)πr^3
V = (4/3)(3.14)(72^3)
V = (4/3)(3.14)(373248)
V = (4/3)(1172296.32)
V = 1563055.0933 cubic inches
Therefore, the sphere's surface area is 65037.44 square inches and its volume is 1563055.0933 cubic inches.
81/13
81 divided by 13 is equal to 6.231 (rounded to 3 decimal places).
19/75
19 divided by 75 is equal to 0.2533 (rounded to 4 decimal places).