Combination of solids

Q.

The circumference of the base of a cylinder is 88 cm and height is 10 cm. Calculate the volume of the cylinder.

Q. The curved surface area of a cylinder is 264 m² and its volume is 924 m³. The ratio of its diameter to its height is

(a) 3 : 7

(b) 7 : 3

(c) 6 : 7

(d) 7 : 6

Q.

Area of the base of a right circular cylinder is 154 sq. cm and height is 10 cm. Calculate the volume of the cylinder.

Q.

A cylinder has a diameter 20 cm and height 18 cm. Calculate the total surface area of the cylinder.

Q.

Volume of a cylinder is 3080 cc and height is 20 cm. Calculate the radius of the cylinder.

Q. The difference between the outer and inner curved surface areas of a hollow right circular cylinder 14 cm long is 88 cm². If the volume of metal used in making the cylinder is 176 cm³, find the outer and inner diameters of the cylinder. (Use π = 22/7)

Q.

Find the volume of the cylinder whose radius is 5 cm and height is 28 cm.

Q.

Volume of a cylinder is 3080 cc and height is 20 cm. Calculate the radius of the cylinder.

Q. The volume of a right circular cylinder with its height equal to the radius is $25\frac{1}{7}$ cm³. Find the height of the cylinder.

Q.

The volume and the height of a cone are 2200 cm³ and 21 cm respectively. Find the diameter of the basic.

Q.

The circumference of a thin hollow cylindrical pipe is 44 cm and length is 20 m. Find the surface area of the pipe.

Q.

Volume of a cylinder is 4400 cc and diameter is 20 cm. Find the height of the cylinder.

Q. Determine the ratio of height of the largest rods that can be fitted inside a sphere to a cube, given that the sphere exactly fits inside the cube.

1. $\sqrt{3}:1$
2. $1:\sqrt{3}$
3. 1:1
4. 2:1

Q.

The heights of two circular cylinders of equal volume are in the ratio 1 : 2. The ratio of their radii is
(a) $1:\sqrt{2}$
(b) $\sqrt{2}:1$
(c) 1 : 2
(d) 1 : 4

Q. The ratio between the radius of the base and the height of a cylinder is 2 : 3. If its volume is 1617 cm³, the total surface area of the cylinder is
(a) 308 cm²
(b) 462 cm²
(c) 540 cm²
(d) 770 cm²

Q.

The volume and the height of a cone are 2200 cm³ and 21 cm respectively. Find the diameter of the basic.

Q.

A cylinder has a diameter 20 cm and height 18 cm. Calculate the total surface area of the cylinder.

Q. The radius of the base of a right circular cylinder is 3 cm and height is 7 cm. Find
(i) curved surface area
(ii) total surface area
(iii) volume of the right circular cylinder. $\left(\mathrm{\pi }=\begin{array}{c}22\\ 7\end{array}\right)$

Q. The sum of the radius of base and height of a solid right circular cylinder is 37 cm . If the total surface area of the solid cylinder is 1628 cm² , find the volume of cylinder. (Use $\mathrm{\pi }=$22 / 7 )

Q. The radii of two cylinders are in the ratio of 2 : 3 and their heights are in the ratio of 5 : 3. Find the ratio of their volumes.

Q.

Find the volume of the cylinder whose radius is 5 cm and height is 28 cm.

Q. The diameter of the base of a cylinder is 4 cm and its height is 14 cm. The volume of the cylinder is
(a) 176 cm³
(b) 196 cm³
(c) 276 cm³
(d) 352 cm³

Q. Determine the ratio of height of the largest rods that can be fitted inside a sphere to a cube, given that the sphere exactly fits inside the cube.

1. $\sqrt{3}:1$
2. $1:\sqrt{3}$
3. 1:1
4. 2:1

Q. The radius and height of a cylinder are in same ratio 3:7 and its volume is 1584 cm³. Find its radius.

Q.

The circumference of a thin hollow cylindrical pipe is 44 cm and length is 20 m. Find the surface area of the pipe.

Q.

The circumference of the base of a cylinder is 88 cm and height is 10 cm. Calculate the volume of the cylinder.

Q. Two right circular cylinders of equal volumes have their heights in the ratio 1 : 2. What is the ratio of their radii?

Q.

Q. The diameter of the base of a cylinder is 4 cm and its height is 14 cm. The volume of the cylinder is
(a) 176 cm³
(b) 196 cm³
(c) 276 cm³
(d) 352 cm³

Q. The radius of the base and the height of a solid right circular cylinder are in the ratio 2 : 3 and its volume is 1617 cm³. Find the total surface area of the cylinder.