Hemisphere and Its Surface Area

Q.

Two identical solid hemispheres of equal base radius r cm are stuck together along their bases. The total surface area of the combination is $6{\mathrm{\pi r}}^2$. Write ‘True’ or ‘False’ and justify your answer.

1. True
2. False

Q.

Question 37

The curved surface area of a cylinder which exactly fits in a cube of side b is ___

Q. A well of inner diameter 14 m is dug to a depth of 12 m. Earth taken out of it has been evenly spread all around it to a width of 7 m to form an embankment. Find the height of the embankment so formed.

Q. A ceiling has a shape of rhombus whose diagonals lengths are $10$cm & $20$ cm. How many such tiles are required to cover ceiling of area $1000m^2$.

1. ${10}^4$
2. ${10}^5$
3. ${10}^6$
4. ${10}^3$