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
पर्याय
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 solid consists of a circular cylinder with an exact fitting right circular cone placed at the top. The height of the cone is h. If the total volume of the solid is 3 times the volume of the cone, then the height of the circular is
The radii of the circular ends of a frustum are 6 cm and 14 cm. If its slant height is 10 cm, then its vertical height is
A drinking glass is in the shape of a frustum of a cone of height 14 cm. The diameters of its two circular ends are 16 cm and 12 cm. Find the capacity of the glass.
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 capacity and total surface area.
An oil funnel made of tin sheet consists of a 10 cm long cylindrical portion attached to a frustum of a cone. If the total height is 22 cm, diameter of the cylindrical portion is 8 cm and the diameter of the top of the funnel is 18 cm, then find the area of the tin sheet required to make the funnel.
A shuttle cock used for playing badminton has the shape of a combination of ______.
A cylinder and a cone area of same base radius and of same height. The ratio of the volume of cylinder to that of cone is ______.
A cone is cut through a plane parallel to its base and then the cone that is formedon one side of that plane is removed. The new part that is left over on the other side of the plane is called ______.
A solid formed on revolving a right-angled triangle about its height is ______.
An open metallic bucket is in the shape of a frustum of a cone, mounted on a hollow cylindrical base made of the same metallic sheet. The surface area of the metallic sheet used is equal to curved surface area of frustum of a cone + area of circular base + curved surface area of cylinder.
