Q) Tamper-proof tetra-packed milk guarantees both freshness and security. This milk ensures uncompromised quality, preserving the nutritional values within and making it a reliable choice for health-conscious individuals. 500 mL milk is packed in a cuboidal container of dimensions 15 cm x 8 cm x 5 cm. These milk packets are then packed in cuboidal […]

# surface areas and volumes

Q) Metallic silos are used by farmers for storing grains. Farmer Girdhar has decided to build a new metallic silo to store his harvested grains. It is in the shape of a cylinder mounted by a cone. Dimensions of the conical part of a silo is as follows: Radius of base = 1.5 m, Height = 2

Metallic silos are used by farmers for storing grains. Farmer Girdhar has decided Read More »

Q) A medicine capsule is in the shape of a cylinder with two hemispheres stuck to each of its ends. The length of the entire capsule is 14 mm and the diameter of the capsule is 4 mm, find its surface area. Also, find its volume. Ans: Given: Capsule length = 14 mm Diameter of

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Q) A solid iron pole consists of a solid cylinder of height 200 cm and base diameter 28 cm, which is surmounted by another cylinder of height 50 cm and radius 7 cm. Find the mass of the pole, given that 1 cm3 of iron has approximately 8 g mass. Ans: For better understanding, let’s

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Q) The inner and outer radii of a hollow cylinder surmounted on a hollow hemisphere of same radii are 3 cm and 4 cm respectively. If height of the cylinder is 14 cm, then find its total surface area (inner and outer). Ans: Let’s draw a diagram to better understand the question: Here, in this question,

Q) A tent is in the shape of a right circular cylinder up to a height of 3 m and then a right circular cone, with a maximum height of 13.5 m above the ground. Calculate the cost of painting the inner side of the tent at the rate of 2 per square metre, if

Q) A solid wooden toy is in the shape of a right circular cone mounted on a hemisphere of same radius. If the radius of the hemisphere is 4.2 cm and the total height of the toy is 10.2 cm, find the volume of the wooden toy. Also, find the total surface area of the

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Q) The word ‘circus’ has the same root as ‘circle’. In a closed circular area, various entertainment acts including human skill and animal training are presented before the crowd.A circus tent is cylindrical upto a height of 8 m and conical above it. The diameter of the base is 28 m and total height of

The word ‘circus’ has the same root as ‘circle’. In a closed circular area, various Read More »

Q) A wooden toy is made by scooping out a hemisphere of same radius as of cylinder, from each end of a wooden solid cylinder. If the height of the cylinder is 20 cm and its base is of radius 7 cm, find the total surface area of the toy. Ans: Let’s first make a diagram

Q) Determine the ratio of the volume of a cube to that of the sphere which will exactly fit inside the cube. Ans. Let’s draw the diagram for the given question: If the radius of the sphere is R, then volume of the sphere, VS = If the side of the cube is X, then volume