A cone is 10 meters tall and has a radius of 3 meters. Using 3.14 for pi, what is the volume of the cone rounded to the nearest tenth

9 answers

The volume of a cone is given by the formula: V = (1/3)πr²h, where r is the radius and h is the height of the cone.

Plugging in the given values:
V = (1/3)(3.14)(3²)(10)
V = (1/3)(3.14)(9)(10)
V = (1/3)(3.14)(90)
V = (3.14)(30)
V = 94.2

Therefore, the volume of the cone is approximately 94.2 cubic meters when rounded to the nearest tenth.
A prism has a square base that measures 6 feet on each side. The distance between the bases is 15 feet. What is the volume of the prism?
To calculate the volume of a prism, we need to multiply the area of the base by the height.

Since the base is square with sides measuring 6 feet, the area of the base is:
6 feet * 6 feet = 36 square feet.

The height of the prism is given as 15 feet.

Now we can calculate the volume:
Volume = area of base * height
Volume = 36 square feet * 15 feet
Volume = 540 cubic feet.

Therefore, the volume of the prism is 540 cubic feet.
A pyramid has a square base with 7-foot sides. It's 5 feet tall. What is the volume of the pyramid rounded to the nearest tenth?
To calculate the volume of a pyramid, we need to multiply the area of the base by the height and divide the result by 3.

Since the base is square with sides measuring 7 feet, the area of the base is:
7 feet * 7 feet = 49 square feet.

The height of the pyramid is given as 5 feet.

Now we can calculate the volume:
Volume = (area of base * height) / 3
Volume = (49 square feet * 5 feet) / 3
Volume = 245 cubic feet / 3
Volume = 81.67 cubic feet (rounded to the nearest tenth).

Therefore, the volume of the pyramid is approximately 81.7 cubic feet when rounded to the nearest tenth.
A beach ball has a 12-inch radius. Using 3.14 for pi, how much air will it hold? Round it to the nearest hundreth
The volume of a sphere is given by the formula: V = (4/3)πr³, where r is the radius of the sphere.

Plugging in the given radius:
V = (4/3)(3.14)(12³)
V = (4/3)(3.14)(1728)
V = (4/3)(5418.72)
V = 7224.96

Therefore, the beach ball will hold approximately 7224.96 cubic inches of air when rounded to the nearest hundredth.
Incorrect
Apologies for the mistake. Let's try again.

The volume of a sphere is given by the formula: V = (4/3)πr³, where r is the radius of the sphere.

Plugging in the given radius:
V = (4/3)(3.14)(12³)
V = (4/3)(3.14)(1728)
V = (4/3)(5418.24)
V = 7224.32

Therefore, the beach ball will hold approximately 7224.32 cubic inches of air when rounded to the nearest hundredth.