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A cone and sphere have the same volume the radius of the sphere and the base of the cone are 6cm what is the height of the cone?
Start by finding the volume of the sphere. You know it's radius is 6cm. The volume of the sphere with respect to the radius is: v = 4/3πr3 So you can plug that radius in to get the volume: v = 4/3π(6cm)3 v = 4/3π216cm3 v = 288πcm3 We know that the volumes of the sphere and the cone are equal, and that the base radius of the cone is six centimeters. Using those, we can work out the cone's height. The volume of a cone is calculated as: v = πr2h we already have the volume and radius, so we simply have to rearrange that equation and solve for h v = πr2h h = v / πr2 and simply plug in our values: h = (288π cm3) / π(6cm)2 h = 288cm3 / 36cm2 h = 8cm So the height of the cone is eight centimeters
What is the ratio of the radii of a cone and a cylinder if they have the same volume and height?
Let the cylinder have radius R and height h Let the cone have radius r and same height h Then: Volume cylinder = πr²h Volume cone = ⅓πR²h If the volume are equal: ⅓πR²h = πr²h → ⅓R² = r² → R² = 3r² → R = √3 r → ratio radii cone : cylinder = 1 : √3
What is the volume formula of a right cone with base area b and height h?
Volume of a cone: 1/3*pi*radius^2 *height
Is the volume of a cone with a height of 6 centimeters and a radius of 2 centimeters?
1/3 * pi * r2 * h= Volume of cone=1/3 (pi)(4)(6)=24/3 pi=8pi8pi=Volume of cone
Find the volume of each cone. Round your answer to the nearest tenth . Use 3.14 for pi?
To find the volume of a cone, you use the formula V = (1/3)πr^2h, where r is the radius of the base and h is the height of the cone. Calculate the volume of each cone by plugging in the given values for r and h into the formula. Round your final answers to the nearest tenth.
