Advertisements
Advertisements
प्रश्न
A frustum of a right circular cone is of height 16 cm with radius of its ends as 8 cm and 20 cm. Then, the volume of the frustum is
विकल्प
3328π cm3
3228π cm3
3240π cm3
3340π cm3
Advertisements
उत्तर
3328π cm3
Explanation;
Hint:
Here, h = 16 cm, r = 8 cm, R = 20 cm
Volume of the frustum
= `1/3pi"h"("R"^2 + "r"^2 + "Rr")`
= `1/3pi xx 16(20^2 + 8^2 + 20 xx 8)`
= `1/3 pi xx 16(400 + 64 + 160)`
= `1/3 pi xx 16 xx 624`
= π × 16 × 208
= 3328π cm3
APPEARS IN
संबंधित प्रश्न
A metallic bucket, open at the top, of height 24 cm is in the form of the frustum of a cone, the radii of whose lower and upper circular ends are 7 cm and 14 cm respectively. Find :
(i) the volume of water which can completely fill the bucket.
(ii) the area of the metal sheet used to make the bucket.
[Use π =\[\frac{22}{7}\]
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 ?
A right circular cone and a right circular cylinder have equal base and equal height. If the radius of the base and height are in the ratio 5 : 12, write the ratio of the total surface area of the cylinder to that of the cone.
A cylinder and a cone are of the same base radius and of same height. Find the ratio of the value of the cylinder to that of the cone.
If a cone is cut into two parts by a horizontal plane passing through the mid-point of its axis, the ratio of the volumes of the upper part and the cone is
In a right circular cone , the cross-section made by a plane parallel to the base is a
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.]
The perimeters of the two circular ends of a frustum of a cone are 48 cm and 36 cm. If the height of the frustum is 11 cm, then find its volume and curved surface area.
The curved surface area of a frustum of a cone is πl (r1 + r2), where `l = sqrt(h^2 + (r_1 + r_2)^2)`, r1 and r2 are the radii of the two ends of the frustum and h is the vertical height.
If radius of the base of cone is 7 cm and height is 24 cm, then find its slant height.
