Question

lateral surface area of sphere​

Answer 1

Answer:

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

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Answer 2

Step-by-step explanation:

The lateral area of a figure is the area of the non-base faces only. In this article, the lateral surface area of different figures including cuboid, cube, cylinder, cone, and sphere.

Formulas for Lateral Surface Area

Lateral Area for Cuboid and Cube

The Total surface area of a cuboid is given by 2 (length . breadth + breadth . height + height . length) = 2 × (lb + bh + hl).

The total surface area of a cube is given by 6 × (side)2.

The lateral surface area of a cuboid is given by 2(length + breadth) × height.

Similarly, the lateral surface area of a cube of side “a” is equal to 4 × (side)2.

Lateral Area for Cylinder

The Curved or lateral Surface Area of a Cylinder is given by 2 × π × r × h where, r = base radius, and h = height of the cylinder.

The total surface area of a Cylinder is given by 2πr × (r + h).

Lateral Area for Cone

The Curved Surface Area of a Cone (lateral) = π × r × l where, r = base radius, and l = slant height.

The Slant height (l) = r2+h2−−−−−−√ where, h = height of cone.

If the base of the cone is to be closed, then the total Surface Area of a Cone is given by =πrl+πr2=πr(l+r)

Lateral Area for Sphere

The lateral surface area of a sphere is given by 4πr2 where r is the radius of the sphere.

Hence, the Curved Surface Area (CSA) of a Hemisphere is given by 2πr2 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.

Volume Formulas For Cube, Cuboid, Cylinder, Cone, Sphere

The Volume of a Cuboid is given by (area of base × height) i.e. height × (length × breadth).

The volume of a Cube is given by edge3.

The Volume of a Cylinder is given by πr2h where r = radius of base and h = given height of the cylinder.

The Volume of a Cone is given by 13πr2h where r = base radius and h = height of the cone.

The Volume of a Sphere is given by 43πr3 where r is the radius of the sphere.