Maths

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 [...]

Three metallic solid cubes whose edges are 3 cm, 4 cm and 5 cm are melted and formed into a single cube. Find the edge of the cube so formed. 4 cm and 5 cm are melted and formed into a single cube. Find the edge of the cube so formed. Three metallic solid cubes [...]

An open metallic bucket is in the shape of a frustum of a cone, mounted on a hollow cylindrical base made of the same metallic sheet. The surface area of the metallic sheet used is equal to curved surface area of frustum of a cone + area of circular base + curved surface area of [...]