SSC MTS MATHS QUIZ

A hollow cylinder is made up of steal. The difference in its outer and inner CSA is 132 ${\mathrm{cm}}^2$. Height of cylinder is $21\mathrm{cm}$ and sum of its inner and outer radius is also $21\mathrm{cm}$. Then find the TSA of the hollow cylinder (in ${\mathrm{cm}}^2$ )

The perimeter of a non-square rhombus ABCD is 20 $\mathrm{cm}$. One of its diagonal is $8\mathrm{cm}.$ The area of the rhombus is -

A solid metallic toy has a hemispherical base with radius $3.5\mathrm{cm}$ surmounted by a cone. If the height of the cone is the same as the radius of its base, then the volume of metal used in ${\mathrm{cm}}^3$ is: $($ Take $\pi =\frac{22}{7})$

The sides of a triangular park are 60 m, 297 m and 303 m. Its area is equal to the area of a square-shaped garden. What is the perimeter (in m) of the garden?

A hollow cylindrical tube $20\mathrm{cm}$ long, is made of iron and its external and internal diameters are $8\mathrm{cm}$ and $6\mathrm{cm}$ respectively. The volume of iron used in making the tube is $($ Take $\mathrm{r}=\frac{22}{7})$

Three solid metallic cubes of sides 6 cm, 8 cm and 10 cm, respectively, were melted to form a new solid cube. Find the side (in cm) of the new solid cube.

It is required to make a closed cylindrical tank of height 1m and base diameter 140 cm from a metal sheet. How many square meters of the sheet is required for the same?