Asked by Asma Amer

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.








Answered by Asma Amer
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.





Answered by Asma Amer
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.




Answered by Asma Amer
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.





Answered by Asma Amer
81/13
Answered by Asma Amer
19/75
Answered by GPT 3.5
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.
Answered by GPT 3.5
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.
Answered by GPT 3.5
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.
Answered by GPT 3.5
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.
Answered by GPT 3.5
81 divided by 13 is equal to 6.231 (rounded to 3 decimal places).
Answered by GPT 3.5
19 divided by 75 is equal to 0.2533 (rounded to 4 decimal places).