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A solid cone and a solid cylinder have equal base and equal height. If the radius and height be in the ratio of 12 : 5, the ratio of the total surface area of cone to that of the cylinder is

An aluminum sheet 25 cm long, 20 cm broad and 2 cm thick is melted into a cube. The difference in the surface area of the two solids would be

A cube has each edge 2 cm and cuboid is 1 cm long, 2 cm wide and 3 cm high. The paint in a certain container is sufficient to paint area equal to 54 cm². Which of the following is correct?

The sum of length, breadth and height of a cuboid is 22 cm and the length of its body diagonal is 14 cm. What is the surface area of the cuboid?

The sum of length, breadth and height of a cuboid is 22 cm and length of its body diagonal is 14 cm. if S is the sum of cubes of dimensions of the cuboid and V is the volume, the (S−3V) will be equal to

Consider the following statements, which of them is/are correct?

A. If the height of cylinder is doubled, the area of curved surface is doubled.

B. If the radius of a hemispherical solid is doubled, its total surface area becomes fourfold.

C. If a hemisphere and cone have equal bases and equal heights, then the ratio of curved surface area is $\sqrt{2}:1$.

A solid brass sphere of radius 21 cm is converted into a right circular cylindrical rod of length 28 cm. The ratio of total surface areas of the rod to sphere is :

If each side of a cube is decreased by $19 \%$, then the decrease in surface area is :

A 30 meter deep well, with a diameter of 7 meters is dug and the earth from digging is evenly spread out to form a platform of size 22 meters by 14 meters. The height of the platform is:

Given below are two statements:

Statement (I): The volume of a right circular cylinder of base radius 7 cm and height 10 cm is 1540 cm³ (Take π = 22/7).

Statement (II): Total surface area of the cylinder having radius of base 14 cm and height 30 cm, is 3872 cm² (Take π= 22/7).

In light of the above statements, choose the most appropriate answer from the options given below.

Two identical solid cubes of side 5 cm are joined end to end. Then the total surface area of the resulting cuboid is:

The radii of two cones are in the ratio 2:3 and their volumes are in the ratio 1:3. Then the ratio of their heights is:

Floor of a room is $15 \text{ m } 17 \text{ cm}$ long and $9 \text{ m } 2 \text{ cm}$ broad. What is the least number of square tiles required to pave the floor?

The length of canvas 1.1 m wide required to build a conical tent of height 14m and the floor area 346.5 $m^{2}$ is

A pump can be operated both for filling a tank and for emptying it. The capacity of the tank is 2400 $m^{3}$. The emptying capacity of the pump is 10 $m^{3}$ per minute higher than its filling capacity. Consequently, the pump needs 8 minutes less to empty the tank as to fill it. The filling capacity of the pump is

One cubic metre of iron weighs 7.800 kg. The weight of iron in a pipe of length 4 m, whose interior and exterior diameters measure 10 cm and 12 cm respectively, is nearly