To find the volume of a cylinder, we can use the formula V = πr^2h, where V represents the volume, r represents the radius, and h represents the height.
Given that the radius is 6 m and the height is 4 m, we can substitute these values into the formula:
V = π(6^2)(4)
V = π(36)(4)
V = π(144)
V = 144π
The volume of the cylinder is 144π m^3.
When the height is tripled, the new height becomes 4 x 3 = 12 m.
Plugging this new height into the formula, we get:
V = π(6^2)(12)
V = π(36)(12)
V = π(432)
V = 432π
The new volume with tripled height is 432π m^3.
When the radius is tripled, the new radius becomes 6 x 3 = 18 m.
Plugging this new radius into the formula, we get:
V = π(18^2)(4)
V = π(324)(4)
V = π(1296)
V = 1296π
The new volume with tripled radius is 1296π m^3.
Writing Find the volume of a cylinder with radius 6 m and height 4 m. Use pencil and paper. How does the volume change when the height is tripled? When the radius is tripled?3
(Type an exact answer in terms of pie)
1 answer