A solid cylinder of base radius 7 cm and height 24 cm is surmounted by a cone of the same radius and same vertical height. A hemisphere surmounts the cylinder at the other end. Surface area of the solid will be `527pi\ c m^2` (b) `609pi\ c m^2` (c) `707pi\ c m^2` (d) `805pi\ c m^2`

A cylinder with base radius of 8 cm and height of 2 cm is melted to form a cone of height 6 cm. The radius of the cone is …………. .

In Fig. 15.112, the area of the shaded region is (FIGURE) (a) 3pi\ c m^2 (b) 6pi\ c m^2 (c) 9pi\ c m^2 (d) 7pi\ c m^2

The area of the circle that can be inscribed in a square of side 10 cm is (a) 40pi\ c m^2 (b) 30pi\ c m^2 (c) 100\ pi\ c m^2 (d) 25\ pi\ c m^2

The interior of a building is in the form of a cylinder of base radius 12 m and height 3.5 m, surmounted by a cone of equal base and slant height 12.5 m. Find the internal curved surface area and the capacity of the building.

A cylinder with base radius of 8 cm and height of 2 cm is melted to form a cone of height 6 cm. The radius of the cone is (a) 4 cm (b) 5 cm (c) 6 cm (d) 8 cm

A conical cavity is drilled in a circular cylinder of 15 cm height and 16 cm base diameter. The height and base diameter of the cone are the same as those of the cylinder. Determine the total surface area of the remaining solid. 215 pi c m^2 (b) 376 pi c m^2 (c) 440 pi c m^2 (d) 542 pi c m^2

The interior of a building is in the form of a right circular cylinder of diameter 4.2 m and height 4 m surmounted by a cone of same diameter. The height of the cone is 2.8 m. Find the outer surface area of the building.

A solid metallic cylinder of height 10 cm and radius 6 cm is melted to make two cones in the ratio of volume 1:2 and of same height as 10 cm. What is the percentage increase in the flat surface area?

From a solid circular cylinder with height 12 cm and radius of the base 5 cm, a right circular cone of the same height and the same base radius is removed find the volume and total surface area of the remaing solid . [User pi = 3.14 ]