Question 1 :
The radii of the ends of a frustum of a right circular cone 15.00 cm high are 5.50 cm and 3.50 cm. Its curved surface area is
Question 2 :
A cone of maximum volume is carved out of a cube of edge 27.00 cm. Find the volume of the cone
Question 3 :
A hollow cube of internal edge 22 cm is filled with spherical marbles of diameter 0.5 cm and it is assumed that {tex}\\ \frac { 1 }{ 8 } {/tex} space of the cube remains unfilled. Then the number of marbles that the cube can accommodate is<br/>
Question 4 :
The radii of the ends of a frustum of a right circular cone 8.00 cm high are 9.00 cm and 6.00 cm. Its curved surface area is
Question 5 :
A solid metallic cylinder of base radius 12.00 cm and height 23.00 cm is melted to form cones each of height 1.00 cm and radius 1.00 cm . Find the number of complete cones formed
Question 6 : From a solid cylinder of height 13.00 cm and base radius 5.00 cm, a conical cavity of height 5.00 cm and base radius 5.00 cm is drilled out. Find the volume of the resulting solid<br><img style='object-fit:contain' src="https://s3.ap-south-1.amazonaws.com/me-p/5fb6636816d7e6154e469a88.jpg" />
Question 7 :
If the slant height of a cone is 10.30 cm and L.S.A is 291.34 sq.cm, its base radius is
Question 8 :
If the base radius of a cone is 6.00 cm and volume is 188.57 cu.cm, its base area is
Question 9 :
If a solid circular cylinder of iron whose diameter is 15 cm and height 10 cm is melted and recasted into a sphere, then the radius of the sphere is<br/>
Question 10 :
The radii of the ends of a frustum of a right circular cone 14.00 cm high are 10.00 cm and 7.00 cm. Its slant height is
Question 11 :
If the base radius of a cone is 8.00 cm and T.S.A is 485.51 sq.cm, its volume is
Question 12 :
If the slant height of a cone is 12.21 cm and T.S.A is 698.03 sq.cm, its vertical height is
Question 13 :
Marbles of diameter 1.40 cm are dropped into a cylindrical beaker containing some water. When they are fully submerged, the water level rises by 8.4 cm. If the diameter of the beaker is 28.00 cm, find the number of marbles that are dropped in it
Question 14 :
If the slant height of a cone is 10.63 cm and L.S.A is 267.27 sq.cm, its volume is
Question 15 :
If the slant height of a cone is 8.60 cm and vertical height is 7.00 cm, its volume is
Question 16 :
If the base radius of a cone is 6.00 cm and slant height is 7.81 cm, its T.S.A is
Question 17 :
The radii of the ends of a frustum of a right circular cone 6.00 cm high are 7.00 cm and 5.00 cm. Its volume is
Question 18 :
If the base radius of a cone is 7.00 cm and T.S.A is 387.86 sq.cm, its slant height is
Question 19 :
If the slant height of a cone is 12.81 cm and T.S.A is 716.89 sq.cm, its L.S.A. is
Question 20 :
The number of balls of radius 1 cm that can be made from a sphere of radius 10 cm is<br/>
Question 21 :
An ice cream container has the shape of a right circular cylinder having inner diameter 20.00 cm and height 28.00 cm . The ice cream is filled into cones of diameter 10.00 cm and height 18.00 cm , having a hemispherical shape on the top. Find the number of such complete cones which can be filled with ice cream
Question 22 :
If the base radius of a cone is 10.00 cm and slant height is 12.21 cm, its L.S.A. is
Question 23 :
If the base radius of a cone is 8.00 cm and T.S.A is 485.51 sq.cm, its L.S.A. is
Question 24 :
If a sphere and a cube have equal surface areas, then the ratio of the diameter of the sphere to the edge of the cube is<br/>
Question 25 :
If the slant height of a cone is 12.04 cm and L.S.A is 340.56 sq.cm, its base area is
Question 26 :
If a solid right circular cone of height 24 cm and base radius 6 cm is melted and recast in the shape of a sphere, then the radius of the sphere is<br/>
Question 27 : A solid consisting of a right circular cone, standing on a hemisphere is placed upright, in a right circular cylinder full of water and touches the bottom. The radius of the cylinder is 15.00 cm and height is 27.00 cm. The radius of the hemisphere is 10.00 cm and the height of the cone is 13.00 cm. Find the volume of water left in the cylinder.<br><img style='object-fit:contain' src="https://s3.ap-south-1.amazonaws.com/me-p/5fb6641e16d7e6154e469a8a.jpg" />
Question 28 :
If the base radius of a cone is 6.00 cm and T.S.A is 317.18 sq.cm, its vertical height is
Question 29 :
If the slant height of a cone is 11.66 cm and T.S.A is 680.74 sq.cm, its volume is
Question 30 :
If the base radius of a cone is 5.00 cm and T.S.A is 254.26 sq.cm, its base area is
Question 31 :
If the base radius of a cone is 6.00 cm and vertical height is 5.00 cm, its slant height is
Question 32 :
The radii of the ends of a frustum of a right circular cone 9.00 cm high are 13.50 cm and 9.00 cm. Its total surface area is
Question 33 :
A conical vessel, whose internal radius is 3.50 cm and height 20.00 cm, is full of liquid . Its contents are emptied into a cylindrical vessel with internal radius 1.00 cm. Find the height to which the liquid rises in the cylindrical vessel.
Question 34 :
If the vertical height of a cone is 6.00 cm and volume is 157.14 cu.cm, its base radius is
Question 35 :
If the base radius of a cone is 9.00 cm and volume is 594.00 cu.cm, its slant height is
Question 36 :
If the slant height of a cone is 12.73 cm and vertical height is 9.00 cm, its base radius is
Question 37 :
If the base radius of a cone is 7.00 cm and vertical height is 9.00 cm, its L.S.A. is
Question 38 :
The radii of the ends of a frustum of a right circular cone 17.00 cm high are 11.00 cm and 9.50 cm. Its slant height is
Question 39 :
A cylindrical vessel of base radius 27.00 cm contains water . A solid sphere of radius 19.00 cm is immersed completely in the water. Find the rise in the water level in the vessel
Question 40 :
If the slant height of a cone is 9.22 cm and vertical height is 6.00 cm, its base area is
Question 41 :
A solid piece of iron in the form of a cuboid of dimensions 49 cm x 33 cm x 24 cm is moulded to form a sphere. The radius of the sphere is<br/>
Question 42 :
If the base radius of a cone is 10.00 cm and L.S.A is 444.40 sq.cm, its volume is
Question 43 :
If the slant height of a cone is 13.45 cm and vertical height is 10.00 cm, its L.S.A. is
Question 44 :
Twelve solid spheres of the same size are made by melting a solid metallic cylinder of base diameter 2 cm and height 16 cm. The diameter of each sphere is<br/>
Question 45 :
If the base radius of a cone is 9.00 cm and volume is 509.14 cu.cm, its T.S.A is
Question 46 :
If the slant height of a cone is 8.60 cm and L.S.A is 189.20 sq.cm, its T.S.A is
Question 47 :
If the base radius of a cone is 10.00 cm and L.S.A is 383.74 sq.cm, its T.S.A is
Question 48 : A solid consists of a right circular cylinder with a hemisphere on one end and a cone on the other . The radius and height of the cylindrical part are 6.00 cm and 22.00 cm respectively. The radii of the hemispherical and conical parts are the same as that of the cylindrical part. Calculate the volume of the solid, if the height of the conical part is 14.00 cm<br><img style='object-fit:contain' src="https://s3.ap-south-1.amazonaws.com/me-p/5fb6647b16d7e6154e469a8b.jpg" />
Question 49 :
If the slant height of a cone is 7.07 cm and vertical height is 5.00 cm, its T.S.A is
Question 50 :
A farmer connects a pipe of internal diameter 40 cm from a canal into a cylindrical tank in his field, which is 10 mt in diameter and 4 mt deep. If water flows through the pipe at the rate of 25 11 kmph , in how much time will the tank be filled ?
