What is the weight of a hollow cylindrical pipe 49 cm long, and having internal and external radii as 4 and 6 cm? The pipe is made of a metal of density 2 gm/cc. Take π = 22/7.
What is the volume of a cone generated by rotating a right angled triangle with sides 41, 9 and 40 cm? The rotation is done about the side of length 40 cm.
A cone of height 2 cm and radius of base 4 cm is made up of modeling clay. A child reshapes it in the form of a sphere. What is the radius of the sphere?
A cuboid block of wood 7 × 14 × 7 is horizontally placed on a table. Then another cube of side 7 is placed on this block. How much surface area is exposed to air?
588 sq. units.
590 sq. units.
586 sq. units.
592 sq. units.
Let the dimensions of the cuboid be L, 2L and L. Its total surface area is 2(L × 2L + 2L × L + L × L) = 10L2. When it is placed on the table, the bottom face is hidden, so net visible area is 10L2 - 2L2 = 8L2. When the cubical block of side L is placed on this block its(i.e., cube's) own L2 and L2 of the cuboidal block is hidden. So it hides 2L2. Thus, the net visible is 8L2 + 6L2 - 2L2 = 12L2 = 12 × 72 = 588 sq. units.
What is the volume of rain water collected in a right cylindrical can of radius 8 cm, if 3 cm rainfall is recorded in the city?
This Blog Post/Article "Volume and Surface Areas Quiz Set 014" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2019-08-18.