Surface Areas a...

If the frustum of a cone has a height of $$6cm$$ and radius of $$5cm$$ and $$9cm$$ respectively; then its cubical volume will be .............. $${cm}^{3}$$.

A solid is in the shape of a cylinder surmounted on a hemisphere. If the diameter and the total height of the solid are $$21\ cm,25.5\ cm$$ respectively, then find its volume.

Lateral surface area of the frustum of a cone is

A hollow cylinder of negligible thickness and radius $$r$$ is mounted by a hollow hemisphere of the same radius. The height of the cylinder is $$h$$. If the solid formed is to be painted . What is the total surface area that has to be painted?

A bucket is of the shape of a frustum. If the radii of the circular ends are $$28$$ cm and $$7$$ cm and the height is $$45$$ cm. The capacity of the bucket is __________.

While calculating the surface area of the figure formed by combining all the three given figures, it includes:

A metal sheet $$27$$ cm long, $$8$$ cm broad and $$1$$ cm thick is melted into a cube so that volume is constant. The difference between surface areas of two solids is

Squares are constructed on the outer side of right angled triangle on each of its three sides. If the lengths of the two sides containing the right angle are $$5$$ cm and $$10$$ cm respectively, then the total area of the regions bounded by the diagram is:

A tent is of the shape of a right circular cylinder upto a height of $$3$$ metres and then becomes a right circular cone with maximum height of $$13.5$$ metres above the ground. If the radius of the base is $$14$$ metres, the cost of painting the inner side of the tent at the rate of $$Rs. 2$$ per square metre is

If the radii of the circular ends of a bucket of height $$40cm$$ are of lengths $$35cm$$ and $$14cm$$, then the volume of the bucket in cubic centimetres, is _________.