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A sphere with a diameter of 16 meters has the same surface area as the total surface area of a right cylinder with the base diameter equal to the sphere diameter how high is the cylinder?
Wiki User
∙ 14y ago
Surface Area of Sphere = 4*Pi*r2 Surface Area of Cylinder = 2*Pi*r2+2*Pi*r*h If we set them as equal: 4*Pi*r2 = 2*Pi*r2+2*Pi*r*h ' Factor out 2*Pi*r 4*Pi*r2 = 2*Pi*r*(r+h) ' Divide both sides by 2*Pi*r 2*r=r+h ' Subtract r from both sides r=h Diameter = 2*r so h=d/2 In this case, d=16m h=8m
Wiki User
∙ 14y ago
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What was Archimedes discovery about sphere and cylinder?
He discovered the relationship between a sphere and a circumscribed cylinder of the same height and diameter. The volume is 4⁄3πr3 for the sphere, and 2πr3 for the cylinder. The surface area is 4πr2 for the sphere, and 6πr2 for the cylinder (including its two bases), where r is the radius of the sphere and cylinder. The sphere has a volume and surface area two-thirds that of the cylinder. A sculpted sphere and cylinder were placed on the tomb of Archimedes at his request.
What is the volume of a sphere that has a diameter of 7 meters?
The volume of a sphere with a diameter of 7 meters is about 179.6m3
What is the surface area of a sphere 12meters in diameter?
Surface area of sphere: 4*pi*6 squared = 452.389 square meters rounded to 3 decimal places
What is the surface area of a sphere with a diameter of 7 cm?
The surface area of a sphere with a diameter of 7cm is 153.9cm2
How to get the total surface area of a sphere in diameter?
Surface area of a sphere = 4*pi*radius2 radius = diameter/2
What was Archimedes discovery about sphere and cylinder?
He discovered the relationship between a sphere and a circumscribed cylinder of the same height and diameter. The volume is 4⁄3πr3 for the sphere, and 2πr3 for the cylinder. The surface area is 4πr2 for the sphere, and 6πr2 for the cylinder (including its two bases), where r is the radius of the sphere and cylinder. The sphere has a volume and surface area two-thirds that of the cylinder. A sculpted sphere and cylinder were placed on the tomb of Archimedes at his request.
What is the volume of a sphere that has a diameter of 7 meters?
The volume of a sphere with a diameter of 7 meters is about 179.6m3
How do you find the surface area of a sphere to the nearest square meter?
-- You have to ask somebody for the radius of the sphere, in meters. If they tell you the diameter instead, then the radius is 1/2 of the diameter, in meters. -- Multiply (4) times (pi) times (the radius)2 . That's the surface area of the sphere, in square meters. -- Round the answer to the nearest square meter.
What is the surface area of a sphere 12meters in diameter?
Surface area of sphere: 4*pi*6 squared = 452.389 square meters rounded to 3 decimal places
What is the surface area of a sphere with a diameter of 7 cm?
The surface area of a sphere with a diameter of 7cm is 153.9cm2
What is surface area of a sphere if diameter is 9.65 cm?
The surface area of a sphere if its diameter is 9.65 cm equals 292.6cm2
What is the surface area of a sphere whose diameter is 18 cm?
The surface area of a sphere whose diameter is 18cm is 1018cm2
What is the surface area of a sphere with a diameter of 8 inches?
The surface area of a sphere with a diameter of 8 inches is 201.1 inches2
What is the total surface area of a sphere in terms of its diameter?
Surface area of a sphere = 4*pi*(diameter/2)^squared
How to get the total surface area of a sphere in diameter?
Surface area of a sphere = 4*pi*radius2 radius = diameter/2
What has more surface area a sphere or a cube?
A sphere has less surface with the same diameter.
What is the surface area of a sphere with diameter 18 feet?
The surface area of a sphere with a diameter of 18 feet is: 1,020 square feet.
