The distance between Pune and Nagpur is 800000 m. If you are travelling by car at the speed of 50 kms/hrs., then how much time will it take you to reach Nagpur from Pune?

From a circular cardboard disc of radius 10 cm. you remove a circular disc with radius 3 cm. What is the area of the remaining cardboard?

The length, breadth and height of a closed tin box are 2 m., 1 m., and 150 cm., respectively. What is the surface area of the tin? How much does it cost to paint the outside of the box @ Rs.2 per sq.m.?

Convert the following lengths into meter.

 i) 29571 cm.

ii) 48623 mm.

iii) 54.75 km.

A rectangular piece of plastic sheet measures 65 cm. by 40 cm. Find its cost at the rate of Rs.20 per square meter?

From a solid metallic cylinder of radius r and height h a cone is scooped out. The radius of the cone is 3r/4 and height is 2h/3.What is the volume of the remaining metal?

Take a solid sphere of radius r and melt it into the shape of a solid cone of height r. What is the radius of the base of this cone?

A field in the form of a parallelogram has base 150 m and altitude 80 m. Find the cost of watering the field at the rate of 5 paisa per 500cm2?

Consider a cylindrical plastic bucket whose internal radius and height are 8 cm. and 0.7 m. respectively. If the bucket is 1 cm. thick, find the volume of plastic used in making it?

If the volume of a solid cone of radius 7 cm is 1540 cu.cm., what is its height? What is its slant height?

What is the cost of icing the curved surface of a cone shaped cake of radius 6 cm. and height 8 cm. @ Rs.1 per sq. cm.?

The area of a right triangle is 50 sq.m. If the length of the altitude is 2000 cm., find the length of its base?

The sides of a triangular field are 165 m., 143 m. and 154 m. Find the area of the field?

If the volume and surface area of a sphere of radius r m. is V cu.m. and S sq.m., respectively, then show that 3V = rS and S3 = 36 π V2.

The radius and height of a metallic right circular cylinder are 4.2 cm. and 5.6 cm., respectively. It is melted and recast into a sphere. Find the surface area of the sphere?