Write ‘True’ or ‘False’ and justify your answer:
Two identical solid hemispheres of equal base radius r сm are stuck together along their bases. The total surface area of the combination is `6pi r^(2) cm^(2)`.

Total surface area of a hemisphere with radius 7 cm is ……… cm^(2) .

Two identical solid cubes of side a are joined end to end. Then, the total surface area of the resulting cuboid is 10a^(2) .

The height of a cone is 16 cm and its base radius is 12 cm. Find the curved surface area and the total surface area of the cone. [Use pi=3.14 ].

Write ‘True’ or ‘False’ and justify your answer: The volume of the frustum of a cone (1)/(3)pi h(r_(1)^(2)+r_(2)^(2)-r_(1)r_(2)) where h is the vertical height of the frustum and r_(1),r_(2) are the radii of the ends.

From the top of a solid cone of height 12 cm and base radius 6 cm, a cone of height 4 cm is removed by a plane parallel to the base. Find the total surface area of the frustum of a cone so formed. (Use sqrt(5)=2.236)

Curved surface area of a cone is 308 cm^(2) and its slant height is 14 cm. Find, (i) radius of the base and (ii) total surface area of the cone.

The sum of the radius of the base and height of a solid right circular cylinder is 37 cm. if its total surface area is 1628 cm^(2) . Find its volume.

the decorative block shown in the given figure is made of two solids -a cube and a hemisphere. The base of the block is acube with ege 5 cm, and the hemisphere fixed on the top a diameter of 4.2 cm. Find the total surface area of the block (Take pi=(22)/(7))

The total surface area of a closed cylinder with radius 3.5 cm and height 6.5 cm is …….. cm^(2) .