Find the volume of a cylinder made from a rectangular sheet of size `44cmxx20cm` by bending it along its length.

Four squares of side 8cm each were cut out from the four corners of a rectangular metal sheet of size 48cmxx36cm .Find the volume of the open cuboid formed with the remaining portion of the metal sheet.

The height of a cylinder is two-thirds of its diameter and the volume of the cylinder is equal to the volume of a sphere of radius 4 cm.Find the base radius of the cylinder.

A solid consisting of a right circular cone of height 120cm and radius 60cm standing on a hemisphere of radius 60cm is placed upright in a right circular cylinder full of water such that it touches the bottom.Find the volume of water left in the cylinder if the radius of the cylinder is 60cm and its height is 180cm.

Find the height and volume of cylinder whose area of the curved surface is 4,400 cm^2 and perimeter of the base is 110 cm.

Find the area of the greatest possible circle that can be cut out from a tin sheet of size 30cmxx40cm .

The lateral surface area of a hollow cylinder is 4224 cm^2 . It is cut along its height and formed a rectangular sheet of width 33 cm. Find the perimeter of rectangular sheet.

Take a sheet of paper. Measure its area. Pile up such sheets of paper of same size to make cuboid. Measure the height of this pile. Find the volumne of the couboid by finding the product of the area of the sheet and the height of this pile of sheets. This activity illustrates the idea that volume of a solid can ve deduce by thsi method also (if the base and top of the solid are congruent and parallel to each other and its edges are perpendicular to the base). Can you think of such objects whose volumne can be found by using this method?

Represent the following situations in the form of quadratic equations:(i)The area of a rectangular plot is 528m^2 .The length of the plot(in meters) is one more than twice its breadth.We need to find length and breadth of the plot.

Find the area of the greatest possible circle that can be cut out from a rectangular board of length 30cm and breadth 21 cm.

Find the height of the cylinder whose volume is 1.54 m^3 and diameter of the base is 140 cm?