Skip to content
Q) A wall mounted lamp, made of fabric, is shown below. Lamp has cuboidal shape, open from top and bottom. A spherical bulb of diameter 7 cm is latched with a very thin rod. (Ignore the rod while making calculations.) Dimensions of the cuboid are 24cm x 12cm x 17cm(i) Find the surface area of […]
surface areas and volumes
Q) To protect plants from heat, a shed of iron rods covered with green cloth is made. The lower part of the shed is a cuboid mounted by semi-cylinder as shown in the figure. Find the area of the cloth required to make this shed, if dimensions of the cuboid are 14 m × 25
Q) The internal and external radii of a hollow hemisphere are 5√2 cm and 10 cm respectively. A cone of height 5√7 cm and radius 5√2 cm is surmounted on the hemisphere as shown in the figure. Find the total surface area of the object in terms of π. (Use √2 = 1.4) (Q 27
Q) A toy is in the form of a cone mounted on a hemisphere of radius 7 cm. The total height of the toy is 31 cm. Find the total surface area of the toy. (Q 21- 30/3/3 – CBSE 2026 Question Paper) Ans: Step 1: We have following data: Radius of the hemisphere, RHÂ =
Q) In Δ ABC, AD is a median. X is a point on AD such that AX: XD = 2:3. BX is extended so that it intersects AC at Y. Prove that BX = 4 XY (Q 35 – 30/3/3 – CBSE 2026 Question Paper) Ans: Step 1: Let’s analyse the given diagram: Here, ABC
Q) A model of Leafy Ball Fountain is made to be kept on the tabletop. Water gently cascades down the ball into a decorative cylindrical pool where it is recycled. The diameter of spherical ball is 21 cm. Cylindrical pool – Outer diameter is 50 cm and inner diameter is 40 cm. Height of solid
Q) A solid is in the form of a cylinder with hemispherical ends. The total height of the solid is 20 cm and the diameter of the cylinder is 7 cm. Find the total volume of the solid. (Use Ï€ = 22/7) [Q 30 – 30/1/1 – CBSE 2026 Question Paper] Ans: Step 1: Let’s
Q) A right circular cylinder and a right circular cone have equal bases and equal heights. If their curved surface areas are in the ratio 8: 5, then find the ratio between the radius of their bases to their height. [Q 28 – 30/1/3 – CBSE 2026 Question Paper] Ans: Step 1: Let’s draw a diagram
Q) On a Sunday your parents took you to a fair. You could see lot of toys displayed and you wanted them to buy a Rubik’s cube and a strawberry ice-cream for you. Based on the information given above, answer the following questions:(i)  Find the length of the diagonal of Rubik’s cube if each
      Q) From a solid right circular cylinder of height 14 cm and base radius 6 cm, a right circular cone of same height and same base radius is removed. Find the volume of the remaining solid. Ans: Step 1: ∵ Volume of the cylinder = π r 2 h For cylinder,