Question

Find the spent height of a cone of radius 3.5m and height 12m

Answer 1

Question:-

Find the slant height of a cone of radius 3.5m and height 12m

Required Answer:-

Given:-

• Radius of the base of the cone is 3.5m
• Height of the cone is 12m

To Find:-

• Slant height

Solution:-

We know that:-

• l^2 = h^2 + r^2

Where,

• l is slant height
• h is height of the cone
• r is radius of the base of the cone.

We have,

• Height of the cone h = 12m
• Radius of the cone r = 3.5m

Substituting the values:-

l^2 = (12)^2 + (3.5)^2

=> l^2 = 144 + 12.25

=> l^2 = 156.25

=> l = √ 156.25

∴ l = 12.5m

Hence, slant height of the cone is 12.5m

Know More!

Properties of Cone:-

• A cone has only one face, which is the circular base but no edges
• A cone has only one apex or vertex point.
• The volume of the cone (V)= ⅓ πr^(2)h.
• The total surface area of the cone (TSA) = πr(l + r)
• The slant height of the cone is l^2 = (r^2+h^2)