How do you find the lateral surface area of a sphere?

How do you find the lateral surface area of a sphere?

The lateral surface area of a sphere is given by 4πr2 4 π r 2 where r is the radius of the sphere. Hence, the Curved Surface Area (CSA) of a Hemisphere is given by 2πr2 2 π r 2 where r is the radius of the sphere of which the hemisphere is a part. The total surface area (TSA) of a Hemisphere is given by 3πr2.

Does a sphere have a lateral area?

Lateral surface area of sphere is nothing but its curved surface area.

How do you find the lateral surface area example?

To find the lateral surface area of a pyramid, you can find the area of each triangle, A = 1/2bh or A = 1/2lw, then multiply by the number of triangles, which would be based on the number of sides of the base; or you can take half the perimeter and multiply by the slant height.

What is the formula of lateral surface?

The lateral surface area is the area of the lateral surface. This lateral surface area can be calculated by multiplying the perimeter of the base by the height of the prism. For a right circular cylinder of radius r and height h, the lateral area is the area of the side surface of the cylinder: A = 2πrh.

How is surface area of sphere derived?

The surface area of a sphere can be easily calculated with the help of the volume of the sphere. In this case, we should know the value of the radius of the sphere. The surface area of the sphere = 4πr2. From the formula of volume of a sphere, we can derive that, r3 = 3V/4π, or r = (3V/4π)1/3.

What is the volume and surface area of sphere?

A sphere is a perfectly round geometrical 3-dimensional object. A sphere with radius r has a volume of 4 3 π r 3 \frac{4}{3} \pi r^3 34πr3 and a surface area of 4 π r 2 4 \pi r^2 4πr2.

How do you find the lateral area of a sphere?

Lateral Area for Sphere. The lateral surface area of a sphere is given by (4pi r^{2}) where r is the radius of the sphere. Hence, the Curved Surface Area (CSA) of a Hemisphere is given by (2pi r^{2}) where r is the radius of the sphere of which the hemisphere is a part. The total surface area (TSA) of a Hemisphere is given by 3π r 2.

How does one calculate the surface area of a sphere?

– The distance of all points on the surface of sphere and center of sphere is same, which is equal to radius of sphere. – A sphere has the smallest surface area for a volume, than any other shape. – A tangent at any point on sphere is perpendicular to the line joining that point and center of sphere. – The sphere does not have a surface of centers.

How to find the total surface area of a sphere?

Know the parts of the equation,Surface Area = 4πr2. This nearly ancient formula is still the easiest way to determine the surface area of a sphere.

• Find the radius of the sphere. Sometimes your problem will supply you the radius,and other times you will have to find it yourself.
• Square the radius by multiplying it by itself.
• Multiply this result by 4.
• What is the approximate surface area of the sphere?

The surface area of a sphere is equal to [4 x Pi x R^2]. In other words, four multiplied by 3.14 multiplied by the radius squared. If the radius of a sphere is 15 yards, the approximate surface area is [4 x 3.14 x (15×15)] = [12.5 x 225] = [2,812 yd^2]. The surface area of a sphere with radius 15 yd is approximately 2,800 yards.