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The lateral surface area of a cylinder is equal to the curved surface area of a cone. If their bases be the same, find the ratio of the height of the cylinder to the slant height of the cone.

Important Questions on Surface Areas and Volumes

EASY
Mathematics>Mathematics - Xth Grade>Surface Areas and Volumes>Surface Area of Solid Shapes
If the height of a right circular cylinder is 10 cm and the curved surface area is 440 cm2, then what is its radius?
EASY
Mathematics>Mathematics - Xth Grade>Surface Areas and Volumes>Surface Area of Solid Shapes
The total surface area of a solid cylinder is 1155 cm2.Its curved surface area is two-fifth of its total surface area.What is the height (in cm) of the cylinder?
EASY
Mathematics>Mathematics - Xth Grade>Surface Areas and Volumes>Surface Area of Solid Shapes
The curved surface area of a cylinder is 25344 cm2 and its height is 32 cm. What is the volume of a cylinder whose capacity is π792 times the volume of the given cylinder?
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Mathematics>Mathematics - Xth Grade>Surface Areas and Volumes>Surface Area of Solid Shapes

A solid metallic sphere of radius 6 cm is melted and made into a solid cylinder of height 32 cm. Find the curved surface area of the cylinder. (Take π=3.1)

EASY
Mathematics>Mathematics - Xth Grade>Surface Areas and Volumes>Surface Area of Solid Shapes
Find the curved surface area (in cm2 ) of right circular cylinder of diameter 21 cm and height 10 cm.
EASY
Mathematics>Mathematics - Xth Grade>Surface Areas and Volumes>Surface Area of Solid Shapes
The ratio between the volume (in cm3) and the curved surface area  of a cylinder is 14 : 1. If the height of a cylinder is 50 cm, then what is the volume of cylinder?
EASY
Mathematics>Mathematics - Xth Grade>Surface Areas and Volumes>Surface Area of Solid Shapes
The radius of a right circular cylinder is 7 cm. Its height is twice its radius.What is the curved surface area of the cylinder?
EASY
Mathematics>Mathematics - Xth Grade>Surface Areas and Volumes>Surface Area of Solid Shapes
The circumference of the base of a right circular cylinder is 88 cm. If the height of the cylinder is 10 cm, find the volume of the cylinder.
EASY
Mathematics>Mathematics - Xth Grade>Surface Areas and Volumes>Surface Area of Solid Shapes
Find the total surface area (in cm2) of a right circular cylinder of diameter 21 cm and height 10 cm.
EASY
Mathematics>Mathematics - Xth Grade>Surface Areas and Volumes>Surface Area of Solid Shapes
The curved surface area and the diameter of a right circular cylinder are 660 cm2 and 21 cm. respectively. Find its height (in cm).
EASY
Mathematics>Mathematics - Xth Grade>Surface Areas and Volumes>Surface Area of Solid Shapes

The diameter of a cylinder is 14 cm and its height is 10 cm, then find the curved surface of the cylinder.

MEDIUM
Mathematics>Mathematics - Xth Grade>Surface Areas and Volumes>Surface Area of Solid Shapes
The respective ratio of the curved surface area to the total surface area of cylinder is 4: 5. If the curved surface area of the cylinder is 1232 cm2, what is its height?( in cm) ?
EASY
Mathematics>Mathematics - Xth Grade>Surface Areas and Volumes>Surface Area of Solid Shapes
A solid right circular cylinder has radius 7 cm and height 20 cm. Find the total surface area in cm2. π=227
EASY
Mathematics>Mathematics - Xth Grade>Surface Areas and Volumes>Surface Area of Solid Shapes
What is the curved surface area (in cm2) of a right circular cylinder whose height and diameter are 10 cm and 8 cm respectively?
EASY
Mathematics>Mathematics - Xth Grade>Surface Areas and Volumes>Surface Area of Solid Shapes
If the total surface area of a solid right circular cylinder is 200π cm2 and its radius is 5 cm, then the sum of its height and radius is
EASY
Mathematics>Mathematics - Xth Grade>Surface Areas and Volumes>Surface Area of Solid Shapes
The formula to find curved surface area of a one rupee coin is _____.
MEDIUM
Mathematics>Mathematics - Xth Grade>Surface Areas and Volumes>Surface Area of Solid Shapes
The diameter of a road roller of length 120 cm is 84 cm. If it takes 500 complete revolutions to level a playground, then find the cost of levelling it at the cost of 75 paise per m2 in ₹. (Take π=227)
EASY
Mathematics>Mathematics - Xth Grade>Surface Areas and Volumes>Surface Area of Solid Shapes
If the radius of the right circular cylinder is decreased by 10%, and the height is increased by 20%, then the percentage increase/decrease in its volume is:
MEDIUM
Mathematics>Mathematics - Xth Grade>Surface Areas and Volumes>Surface Area of Solid Shapes
The curved surface area of a cylindrical pillar is  264 m2 and its volume is 924 m3. Find the ratio of its diameter to its height. 
HARD
Mathematics>Mathematics - Xth Grade>Surface Areas and Volumes>Surface Area of Solid Shapes
A wooden article was made by scooping out a hemisphere from each end of a solid cylinder, as shown in figure. If the height of the cylinder is 10 cm, and its base is of radius 3.5 cm. Find the total surface area of the article.
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