
If it takes of sheet to make a hemispherical bowl, then write the length of the diameter of the forepart of the bowl.

Important Questions on Surface Areas and Volumes


A medicine capsule is in the shape of a cylinder with two hemispheres stuck to each of its ends (see Fig.). The length of the entire capsule is and the diameter of the capsule is . Find its surface area.




Match the following:
Volume of a cone | |
Volume of a frustum | |
Total surface area of a cone | |
Total surface area of a hemisphere | |
Volume of a cuboid | |
Lateral surface area of cylinder | |
Surface area of a sphere | |
Volume of hemisphere | |
Curved surface area of cone | |
Total surface area of a cylinder |










An oil funnel made of tin sheet consists of a long cylindrical portion attached to a frustum of a cone. If the total height is , diameter of the cylindrical portion is and the diameter of the top of the funnel is , find the area of the tin sheet required to make the funnel (see Fig.).



Figure below is a solid cuboid made of unit cubes. Figure is obtained after removing some unit cubes from figure .
Based on the figures shown above, the surface area of the cuboid in figure is _____ the surface area of the solid in figure .

A wooden article was made by scooping out a hemisphere from each end of a solid cylinder, as shown in figure. If the height of the cylinder is , and its base is of radius , find the total surface area of the article.


