## How do you find the volume of a cylinder inscribed in a sphere?

Let R be the radius of the sphere and let h be the height of the cylinder centered on the center of the sphere. By the Pythagorean theorem, the radius of the cylinder is given by r2=R2−(h2)2. The volume of the cylinder is hence V=πr2h=π(hR2−h34).

**What is the maximum volume of a cylinder inscribed in a sphere?**

Greatest volume =4π(300−100)(10)=500πcm3.

**How do you find the maximum surface area of a cylinder inscribed in a sphere?**

⇒ π S = π R 2 [ 1 + 5 ] is the surface area of a cylinder that can be inscribed in a sphere of radius R.

### What is a right cylinder?

Definition of right cylinder : a cylinder whose side is perpendicular to its base.

**What is a right circle?**

: a cylinder with the bases circular and with the axis joining the two centers of the bases perpendicular to the planes of the two bases.

**What would the largest volume be if you were to inscribe a right circular cone into a sphere of radius R?**

Therefore, the volume of the largest right circular cone that can be inscribed in a sphere of the radius R is (32/81)πR3 cubic units or (8/27) times the volume of the sphere.

## How do you find the maximum surface area of a cylinder?

And we can write the surface area and volume of our cylinder in terms of 𝑟 and ℎ. The surface area of the cylinder is two 𝜋𝑟 squared plus two 𝜋𝑟ℎ. The two 𝜋𝑟 squared comes from the two plane faces of our cylinder, the top and bottom of the tin can if you will, which are both discs of radius 𝑟.

**How do you find the length of a right circular cylinder?**

Therefore, the dimension of right circular cylinder is: Radius ( r ) = V π 3 (r)=\sqrt[3]{\frac{V}{\pi}} (r)=3πV and Height ( h ) = V π 3 (h)=\sqrt[3]{\frac{V}{\pi}} (h)=3πV .

**What is the volume of the sphere?**

= 4/3 πr³

The formula for the volume of a sphere is V = 4/3 πr³.

### How do you find the volume of a circular?

Multiply the circle’s area by the cylinder’s length to obtain the volume. If the length is, for instance, 10 inches, then compute as follows: 113 x 10 = 1,130 cubic inches.

**How to find the volume of right circular cylinder?**

Convert Input (s) to Base Unit

**What does cone cylinder and a sphere have in common?**

A cylinder is similar to a prism, but its two bases are circles, not polygons. Also, the sides of a cylinder are curved, not flat. A cone has one circular base and a vertex that is not on the base. The sphere is a space figure having all its points an equal distance from the center point.

## What is the volume of a right circular cylinder?

Volume of a right cylinder = πr 2 h cubic units Given, r = 20 cm h = 30 cm Therefore, using the formula, we get; Volume = 3.14 × 20 2 × 30 = 3.14 × 20 × 20 × 30 = 37680 Hence, the volume of the given right cylinder is 37680 cm 3. Q.2: The radius and height of a right cylinder are given as 5 m and 6.5 m respectively.

**What objects are shaped like a cylinder?**

Rubik’s cube