What is the ratio between their surface areas? A cone and a cylinder have their heights in the ratio 4: 5 and their diameters are in the ratio 3: 2. The ratio of their volumes will be.

2023年7月23日 · For a cylinder to circumscribe a sphere, the height (h) of the cylinder is equal to the diameter of the sphere, which is 2r. Volume of cylinder = πr 2 h Since h = 2r, Volume of …

2022年6月7日 · Diameter of a sphere = 14 cm. Formula used: Volume of cylinder = πr 2 h. Calculation: Cylinder circumscribing sphere means the sphere is inside the cylinder, so the …

The surface area of a sphere is 4πr 2, and the surface area of the circumscribing cylinder is 6πr 2. Hence, any sphere has both two-thirds the volume and two-thirds the surface area of its …

2021年10月29日 · Question. A cylinder circumscribes a sphere. The ratio of their volumes is: (a) 1 : 2 (b) 3 : 2 (c) 4 : 3 (d) 5 : 6

The ratio between the volume of a sphere and volume of a circumscribing right circular cylinder is (a) 2 : 1 (b) 1 : 1 (c) 2 : 3 (d) 1 : 2

A cylinder circumscribes a sphere ⇒ radius of cylinder = radius of sphere(r) and height of cylinder = diameter of sphere (2r) Volume of cylinder = \(\rm \pi r^2 (2r)\)

There is a cylinder circumscribing the hemisphere such that their bases are common. The ratio of their volume is

In the given problem, we need to find the ratio between the volume of a sphere and volume of a circumscribing right circular cylinder. This means that the diameter of the sphere and the …

2024年11月9日 · Since the sphere circumscribes the cylinder, the diameter of the sphere is equal to the diagonal of the cylinder's height and diameter. The diagonal can be found using the …