Advertisements
Advertisements
प्रश्न
The radii of the circular ends of a solid frustum of a cone are 33 cm and 27 cm and its slant height is 10 cm. Find its total surface area. [Use π = 3.14.]
उत्तर
Greater radius = R = 33 cm
Smaller radius = r = 27 cm
Slant height = l = 10 cm
Surface area of the frustum
= πR2 + πr2 + πl (R + r)
= π [R2 + r2 + l (R+r)]
= [332 + 272 + 10(33 + 27)]π
= [1089 + 729 + 10(60)] π
= 2418 × 3.14
= 7592.52 cm2
APPEARS IN
संबंधित प्रश्न
The slant height of a frustum of a cone is 4 cm and the perimeters (circumference) of its circular ends are 18 cm and 6 cm. find the curved surface area of the frustum.
A heap of rice in the form of a cone of diameter 9 m and height 3.5 m. Find the volume of rice. How much canvas cloth is required to cover the heap ?
An oil funnel of tin sheet consists of a cylindrical portion 10 cm long attached to a frustum of a cone. If the total height be 22 cm, the diameter of the cylindrical portion 8 cm and the diameter of the top of the funnel 18 cm, find the area of the tin required.(Use π = 22/7).
If r1 and r2 denote the radii of the circular bases of the frustum of a cone such that r1 > r2, then write the ratio of the height of the cone of which the frustum is a part to the height fo the frustum.
If the slant height of the frustum of a cone is 6 cm and the perimeters of its circular bases are 24 cm and 12 cm respectively. What is the curved surface area of the frustum?
A hemisphere of lead of radius 9 cm is cast into a right circular cone of height 72 cm. Find the radius of the base of the cone.
The radii of the circular ends of a solid frustum of a cone are 18 cm and 12 cm and its height is 8 cm. Find its total surface area. [Use π = 3.14]
A shuttle cock used for playing badminton has the shape of a combination of ______.
The base radii of two circular cones of the same height are in the ratio 3 : 5. The ratio of their volumes are ______.
In a right circular cone, the cross-section made by a plane parallel to the base is a ______.