Total surface area of a right circular cylinder

Q.

The lateral surface area of a hollow cylinder is $4224c{m}^2$. It is cut along its height and formed a rectangular sheet of width$33cm$. Find the perimeter of rectangular sheet?

Q. A hemispherical depression is cut out from one face of a cubical wooden block such that the diameter l of the hemisphere is equal to the edge of the cube. Determine the surface area of the remaining solid.

Q. The radius of a solid right circular cylinder decreases by $20\%$ and its height increases by $10\%$. Find the percentage change in its curved surface area

1. Decrease $=$ $19\%$
2. Decrease $=$ $12\%$
3. Decrease $=$ $13\%$
4. Decrease $=$ $15\%$

Q. X and Y are two cylinders of the same height. The base of X has diameter that is half of the diameter of the base of Y. If the height of X is doubled. The volume of X becomes

1. equal to the volume of Y
2. double the volume of Y
3. half of the volume of Y
4. greater than the volume of Y

Q. $2.2$ cubic dm of brass is to be drawn into a cylindrical wire $0.25cm$ in diameter. Find the approx length of the wire.

Q. The circumference of the base of a cylindrical vessel is $132$cm and its height is $25$cm. How many liters of water can it hold

Q. Curved surface area of a right circular cylinder is 4.4$m^2$. If the radius of the base of the cylinder is 0.7m, find its height.

Q. The ratio of the total surface area to the lateral surface area of the cylinder is $5:3$. Find the height of the cylinder, if the radius of the cylinder is $12cm$.

1. $18cm$
2. $16cm$
3. $20cm$
4. $14cm$