Chapter 13 – Surface Areas and Volumes

How many spherical lead shots each of diameter 4.2 cm can be obtained from a solid rectangular lead piece with dimensions 66 cm, 42 cm and 21 cm? 42 cm and 21 cm? How many spherical lead shots each of diameter 4.2 cm can be obtained from a solid rectangular lead piece with dimensions 66 [...]

Marbles of diameter 1.4 cm are dropped into a cylindrical beaker of diameter 7 cm containing some water. Find the number of marbles that should be dropped into the beaker, so that the water level rises by 5.6 cm. Marbles of diameter 1.4 cm are dropped into a cylindrical beaker of diameter 7 cm containing [...]

An ice-cream cone full of ice-cream having radius 5 cm and height 10 cm as shown in figure. Calculate the volume of ice-cream, provided that its 1/6 part is left unfilled with ice-cream. An ice-cream cone full of ice-cream having radius 5 cm and height 10 cm as shown in figure. Calculate the volume of [...]

Two solid cones A and B are placed in a cylindrical tube as shown in the figure. The ratio of their capacities is 2 : 1. Find the heights and capacities of cones. Also, find the volume of the remaining portion of the cylinder. find the volume of the remaining portion of the cylinder. Two [...]

Two cones with same base radius 8 cm and height 15 cm are joined together along their bases. Find the surface area of the shape so formed. Two cones with same base radius 8 cm and height 15 cm are joined together along their bases. Find the surface area of the shape so formed. November [...]

From a solid cube of side 7 cm, a conical cavity of height 7 cm and radius 3 cm is hollowed out. Find the volume of the remaining solid. a conical cavity of height 7 cm and radius 3 cm is hollowed out. Find the volume of the remaining solid. From a solid cube of [...]

Two identical cubes each of volume 64 cm^3 are joined together end to end. What is the surface area of the resulting cuboid? Two identical cubes each of volume 64 cm^3 are joined together end to end. What is the surface area of the resulting cuboid? November 25, 2020 Category: Chapter 13 - Surface Areas [...]

A cone of radius 8 cm and height 12 cm is divided into two parts by a plane through the mid-point of its axis parallel to its base. Find the ratio of the volumes of two parts. A cone of radius 8 cm and height 12 cm is divided into two parts by a plane [...]

A bucket is in the form of a frustum of a cone and holds 28.490 L of water. The radii of the top and bottom are 28 cm and 21 cm, respectively. Find the height of the bucket. A bucket is in the form of a frustum of a cone and holds 28.490 L of [...]

How many shots each having diameter 3 cm can be made from a cuboidal lead solid of dimensions 9 cm x 11 cm x 12 cm? How many shots each having diameter 3 cm can be made from a cuboidal lead solid of dimensions 9 cm x 11 cm x 12 cm? November 25, 2020 [...]