ABCD is a circle with centre O and taking OC as a diameter, a circle is drawn as shown in the figure given below. Let OB = 7 cm. (Usе π = 22/7)


What is the area of the shaded region?

A triangle ABC with sides 3 cm, 4 cm and 5 cm is revolved about the side 3 cm. Find the volume of the solid so obtained. (Use π = 3.14)

A pencil sharpened at both edges is the combination of ________ and _________.

The volume (in $$cm^3$$​) of a wire of diameter 6 cm and length 7 m is:

take $$\pi = \frac{22}{7}$$​​

A godown is in the form of a cuboid of measures 60 m × 40 m × 30 m. How many cuboidal boxes can be stored in it if the volume of one box is 0.8 $$\text{m}^3$$​ ?

The internal measures of a cuboidal room are 12 m × 8 m × 4 m, with the height being 4 m. Find the total cost of whitewashing all four walls along with ceiling of the room, if the cost of white washing is ₹5 per sq. m.

The radius of a 80 cm wide road roller is 77 cm. Find the number of revolutions that the roller will take to cover an area of 96.8 $$\text{m}^2$$​. [Takе π = $$\frac{22}{7}$$] 

​What is the ratio of the surface areas of two spheres, if their volumes are in the ratio 8 : 27?​

A conical tent has to be accommodate 30 persons. Each person must have 5 $$m^2$$ spaces on the ground and $$120 m^3$$ of air to breather. Find the height (in m) of the tent.​