What is the formula of hollow sphere?

To determine the volume of a sphere, we use the formula 4/3πr^3. So, to find the volume of a hollow sphere, we must subtract the volume of the hollow region from the volume of the overall sphere. Let’s call the radius of the overall sphere r1 and the radius of the hollowed region r2. Thus, we get 4/3π*r1^3 – 4/3π*r2^3.

What is the formula for total surface area of hollow cylinder?

We will use formula of total surface area as 2πh(R+r)+2π(R2−r2) .

What is lateral surface area of hollow cylinder?

Solution: Lateral surface area of hollow cylinder = 4224 cm^2. Height of hollow cylinder, h = 33 cm and say r be the radius of the hollow cylinder. Curved surface area of hollow cylinder = 2 π r h.

Why is the area of a sphere 4?

One geometric explanation is that 4πr2 is the derivative of 43πr3, the volume of the ball with radius r, with respect to r. This is because if you enlarge r a little bit, the volume of the ball will change by its surface times the small enlargement of r.

Is area and total surface area same?

“Area” & “surface area” of a figure mean exactly the same thing. So “total surface area” simply means “total area of the figure, regardless of whether the figure is a 2-D figure (such as a square) or a 3-D figure (such as a cube) or a 4-D figure …

How do you find the radius of a hollow sphere?

Let inner radius of a hollow sphere =r units. and outer radius of a hollow sphere =R units. Total surface area=outer surface area+ inner surface area.

How do you calculate CSA of a hollow sphere?

CSA of hollow sphere, = CSA of outer sphere – CSA of inner sphere = 4 πR 2 – 4 πr 2 = 4 π (R 2 -r 2) Total surface area of hollow sphere : The total surface area of a hollow sphere is equal to the CSA of hollow sphere as a hollow sphere has only one surface that constitutes it. Thus CSA=TSA for a hollow sphere

What is the surface area and volume of a sphere?

Surface area of the sphere will be covered completely fill the region of four circles, all of the same radius as of the sphere. So. Surface area of a Sphere with radius ( r ) = 4 x ( π r 2) = 4 π r 2. Volume of a Sphere. Volume of a sphere is equal to 4 π/3 times the cube of its radius. Volume of a sphere = Hemisphere

How do you find the total area of a hollow hemisphere?

We can derive the formula by adding the curved surfaces of outer hemisphere, inner sphere and the ring formed between them. Curved Surface of outer hemisphere = 2π r 2 2. Curved Surface of inner hemisphere = 2π r 1 2. Area of the ring = π(r 2 2 – r 1 2) Therefore, total area of hollow hemisphere is: TSA = 2π r 2 2 + 2π r 1 2 + π(r 2 2 – r 1 2)