SSC MTS MATHS QUIZ

Find the total surface area of a sphere whose radius is $63 \mathrm{~cm}$.

A solid sphere of radius $2 \mathrm{~cm}$ is melted to convert in to a wire of length is $100 \mathrm{~cm}$. The radius of the wire.

The sides of a triangle are in the ratio $2: 3: 4$ The perimeter of the triangle is $18 \mathrm{~cm}$. The area of the triangle is?

A circular cylindrical can (having horizontal base) with internal diameter $20 \mathrm{~cm}$ and height $30 \mathrm{~cm}$ contains water to a height of $5 \mathrm{~cm}$. How many metal spheres of radius $5 \mathrm{~cm}$ have to be placed in the can, so that the water just fills up the can?

The length, breadth and height of a cuboid are in the ratio $1: 2: 3$. If its total surface area is $1100 \mathrm{~cm}^2$, then its volume (in $\mathrm{cm}^3$ ) is :

The diameter of the base of a right circular solid cylinder is $14 \mathrm{~cm}$ and its volume is $2002 \mathrm{~cm}^3$. The total surface area of the cylinder (in $\mathrm{cm}^2$ ) is $\left(\right.$ Take $\pi=\frac{22}{7}$ ).

What is the ratio of the area of an equilateral triangle of side 2a units to that of a square, whose diagonal is 2a units?

A copper sphere of diameter $18 \mathrm{~cm}$ is drawn into a wire of diameter $4 \mathrm{~mm}$. The length of the wire, in metre is:

PQRS is a rectangle. The ratio of the sides PQ and $Q R$ is $4: 3$. If the length of the diagonal $\mathrm{PR}$ is $20 \mathrm{~cm}$, then what is the area (in $\mathrm{cm}^{2}$ ) of the rectangle?