CBSE Guess > Papers > Important Questions > Class X > Maths > Mathematics By Mr. Sanjay Kumar

Chapter - 14

Q. 151. The internal and external diameters of a hollow hemispherical vessel are 42 cm and 45.5 cm, respectively. Find the volume and its outer curved surface area.

Q. 152. A tent in the form of a right circular cylinder up to a height of 3 m and conical above it. The total height of the tent is 13.5 m and the radius of its base is 14 m. Find the cost of the cloth required to make the tent at the rate of Rs. 80 per m².

Q. 153. The radii of circular ends of a solid frustum are 33 cm and 27 cm and its slant height is 10 cm. Find its total surface area.

Q. 154. A tent in the form of a right circular cylinder up to a height of 4 m and base diameter 4.2 m is surmounted by a cone of equal base and height 2.8 m. Find the capacity of the tent and the cost of the canvas required at the rate of Rs.100 per m².

Q. 155. A right triangle, whose two smaller sides are 15 cm and 20 cm, is made to revolve about its hypotenuse. Find the volume and the surface area of the double cone so formed. ( Use π = 3.14).

Q. 156. Find the capacity of a bucket, 45 cm high, the radii of whose two circular ends are 7 cm and 28 cm.

Q. 157. A solid metallic sphere of diameter 21 cm is melted and recast into a number of smaller cones, each of diameter 7 cm and height 3 cm. Find the number of cones so formed.

Q. 158. The curved surface area of a cone is 12320 cm². If the radius of its base is 56 cm, find its height.

Q. 159. The radii of the internal and external surfaces of a solid metallic shell are 3 cm and 5 cm, respectively. It is melted and recast into a cylinder of height 32/3 cm. Find the diameter of the cylinder.

Q. 160. Find the volume of a solid in the form of a cylinder with hemispherical ends whose total length is 2.7 m and the diameter of each hemispherical end is 0.7 m.

Q. 161. A circus tent is cylindrical up to a height of 3 m and conical above it. If its radius is 52.5 m and slant height of the conical portion is 53 m, find the area of the canvas needed to make the tent.

Q. 162. A solid is in the form of a cylinder 2 m long with hemispherical ends each of 2 m diameter. Find its capacity.

Q. 163. A well of diameter 2 m is dug 14 m deep. The earth taken out is spread evenly all around it to a width of 5 m to form an embankment. Find the height of the embankment.

Q. 164. An open cylindrical vessel of internal diameter 7 cm and height 8 cm stands on a horizontal table. Inside this is placed a right circular cone of base diameter 3.5 cm and height 8 cm. Find the volume of the water required to fill the vessel

Q. 165. A bucket has top and bottom diameters as 40 cm and 20 cm respectively. Find the volume of the bucket, if its depth is 12 cm. Also, find the cost of tin sheet used to make the bucket at the rate of Rs. 1.20 per dm². (Take π = 3.14)