Question

What is the formula for lateral surface area of a cone ? please help​

Answer 1

The formula for the lateral surface area of a cone, LSA = πrl square units or LSA = πr√(r² + h²) square units.

CONE:

A cone is a solid generated by the revolution of a right-angled triangle about one of its sides containing the right angle as an axis.

• Lateral/Curved surface area of a cone = πrl square units.

The formula for finding the Slant height of the cone, l = √(r² + h²)

• Lateral surface area of a cone, LSA = πr√(r² + h²) square units.

Here, 'r' is the radius of the base of a cone, 'l' is the slant height of the cone, 'h' is the height of the cone and the value of π = 22/7 or 3.14.

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Answer 2

The curved surface area of the corn is given by πr(√(r^2+ h^2)) or πrl

Given

• cone

To find

• lateral surface area of a cone

solution

we are provided with a cone and are asked to find the equation for estimating the lateral surface area of a cone.

lateral surface area of a cone include the curved surface area that is the total surface area minus the area of the base region.

if R is the radius of the base region and l is the slant height of the cone then the standard equation to estimate the curved surface area or lateral surface area of the cone is given by

πrl.

we know that the slant height of a cone is related to the radius of the cone and height of the cone through the equation,

l = √(r^2+h^2)

which is basically application of Pythagoras theorem.

substituting this value of slant height of a cone in the earlier standard equation we get,

curved surface area of the cone as,

πr(√(r^2+ h^2))

Therefore the curved surface area of the corn is given by πr(√(r^2+ h^2)) or πrl

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