Question

Perpendicular height of a cone is 40 cm and its slant height is 41 cm. Find the radius of the base of the cone.​

Answer 1

Answer:

base radius of the cone is 9cm

Step-by-step explanation:

h=40cm

slant height nothing but length l=41cm

from Pythagorean theorem

l²=h²+r²

41²=40²+r²

r²=(41²-40²)

r² = (41+40)(41-40)

r²=81

r=9cm

Answer 2

Given

we have given height of cone which is 40cm

and slant height of cone is 41cm

To Find

we have to find radius of the cone

$\sf\huge\bold{\underline{\underline{{Solution}}}}$

Know the terms:

★Height : height is the vertical distance from the vertex of the cone to its base.

★slant height : slant height is also the height of the cone but it's the distance from the vertex to its outer boundary of its base.

formula for finding slant height : l²= h²+r²

By applying slant height's formula:

(41)²=(40)²+r²

41²-40²=r²

r²=1681-1600

r²=81

r=√81

r=9

hence,radius of base of the cone is 9cm.

Extra information=>

some properties of Cone:

• A cone is a three dimensional figure .
• It has only one face which is its base with no edge.
• A cone has only one vertex point.
• Volume of cone is 1/3πr²h
• Curved surface area is πrl
• Total surface area is πr( r+l)