March 2024

Q) The difference between the outer and inner radii of a hollow right circular cylinder of length 14 cm is 1 cm. If the volume of the used in making the cylinder is 176 cm³, find the outer and inner of the cylinder. Ans. Let’s draw the diagram for the given question: Here, Cylinder has outer […]

The difference between the outer and inner radii of a hollow right circular cylinder of length 14 cm is 1 cm. If the volume of the used in making the cylinder is 176 cm³, find the outer and inner of the cylinder. Read More »

Q) From the top of a building 60 m high, the angles of depression of the top and bottom of the vertical lamp post are observed to be 30° and 60° respectively.(i) Find the horizontal distance between the building and the lamp post.(ii) Find the distance between the tops of the building and the post.

From the top of a building 60 m high, the angles of depression of the top and bottom of the vertical lamp post are observed to be 30° and 60° respectively. (i) Find the horizontal distance between the building and the lamp post. (ii) Find the distance between the tops of the building and the post. Read More »

Q) An arc of a circle of radius 21 cm subtends an angle of 60° at the centre. Find:(i) the length of the arc(ii) the area of the minor segment of the circle made by the corresponding chord radius r of in-circle. Ans: Let’s draw the diagram for better understanding:  (i) length of the arc: We

An arc of a circle of radius 21 cm subtends an angle of 60° at the centre. Find: (i) the length of the arc (ii) the area of the minor segment of the circle made by the corresponding chord Read More »

Q) A pole 6m high is fixed on the top of a tower. The angle of elevation of the top of the pole observed from a point P on the ground is 60 and the angle of depression of the point P from the top of the tower is 45. Find the height of the tower

A pole 6m high is fixed on the top of a tower. The angle of elevation of the top of the pole observed from a point P on the ground is 60 and the angle of depression of the point P from the top of the tower is 45. Find the height of the tower and the distance of point P from the foot of the tower. Read More »

Q) A vessel is in the form of a hollow hemisphere mounted by a hollow cylinder. The diameter of the hemisphere is 14 cm and the total height of the vessel is 13 cm. Find the inner surface area and the volume of the vessel. Ans. Let’s start with the diagram of the question: We

A vessel is in the form of a hollow hemisphere mounted by a hollow cylinder. The diameter of the hemisphere is 14 cm and the total height of the vessel is 13 cm. Find the inner surface area and the volume of the vessel. Read More »

(Q) A rectangular floor area can be completely tiled with 200 square tiles. If the side length of each tile is increased by 1 unit, it would take only 128 tiles to cover the floor.(i) Assuming the original length of each side of a tile be x units, make a quadratic equation from the above information.

A rectangular floor area can be completely tiled with 200 square tiles. If the side length of each tile is increased by 1 unit, it would take only 128 tiles to cover the floor. (i) Assuming the original length of each side of a tile be x units, make a quadratic equation from the above information. 1 1 (iii (ii) Write the corresponding quadratic equation in standard form, ) (a) Find the value of x, the length of side of a tile by factorisation. Read More »

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