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Frustum of a cone

Lateral surfa...

Question

Lateral surface area of frustum of cone = $π (r_{1} + r_{2}) l$

A

True

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B

False

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Solution

The correct option is A True

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Similar questions

Q. Question 7
The curved surface area of a frustum of a cone is

π (r_{1} + r_{2}) l

l = \sqrt{h^{2} + (r_{1} + r_{2})^{2}}

r_{1} a n d r_{2}

are the radii of the two ends of the frustum and h is the vertical height.

Q. Lateral surface area of the frustum of a cone is

Q. The circumferences of circular faces of a frustum are 132 cm and 88 cm and its height is 24 cm. To find the curved surface area of the frustum complete the following activity.(

π = \frac{22}{7}

circumference₁ = 2

π

r₁= 132

r₁=

\frac{132}{π} = 134

circumference₂ =2

π

r₂= 88

r₂=

\frac{88}{2 π} = 134

slant height of frustum, l =

\sqrt{h^{2} + {(r_{1} - r_{2})}^{2}} \sqrt{1223^{2} + 1234^{2}} = 1234 cm

curved surface area of the frustum =

π

(r₁+ r₂ ) l

=

π \times 123 \times 132 = 123 sq . cm .

Q. What is the formula for the lateral surface area of the given frustum:

R_{1}

= radius of the base

L

= length of lateral side of the bigger cone of which the frustum is a part

R_{2}

= radius of the top surface

l

= length of lateral height of cone - lateral height the frustum (s)

Q. The radii of the ends of a frustum of a right circular cone are

5

8

metres and its lateral height is

5

metres. Find the lateral surface area and volume of the frustum.

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Frustum of a cone

Standard X Mathematics

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