Question
Curved surface area of cylinder is 689.92 cm2. If ratio of radius to height of the cylinder is 16:14 respectively, then find the base area of the cylinder.Â
Solution
Let radius and height of the cylinder is ‘16x’ cm and ‘14x’ cm respectively. So, 2 × (22/7) × 16x × 14x = 689.92 Or, x2 = 0.49  Or, x = 0.7 Radius of cylinder = 16 × 0.7 = 11.2 cm Desired area = 22/7 × 11.2 × 11.2 = 394.24 cm² Â
More Mensuration Questions
- A cuboid has a breadth of 5 cm, and the combined total of its length and height is 23 cm. If the volume of the cuboid is 600 cm³, calculate the percentage ...
- The surface area of a sphere is given as (12474/25) cm². Calculate the diameter of the sphere. (Use π = 22/7)
- Find the lateral surface area of a pyramid with a rectangular base measuring 12 meters by 8 meters and a slant height of 18 meters.
- A circular field has an inner radius of 7 metres. A path of width 14 metres surrounds the field. Find the cost of cementing the path at the rate of Rs. 5 p...
- The diameter of the base of a cylindrical drum is 28 cm and its height is 15 cm. The drum is full of water and the water from the drum is transferred to ‘n...
- The length of a rectangle, area of which is 252 cm2, is equal to the radius of a circle of area 2464 cm2. Find the perimeter of the rectangle?
- ABCD is a rectangle with AB = 12 cm and BC = 8 cm. O is the centre of a circle touching the three sides AB, BC, and CD of the rectangle ABCD. Find the area...
- A wire is bent to form a square which covers an area of 36 cm². Later, it is reshaped into a circle. What is the area enclosed by the circle? (Use π = 3)
- Two circles touch each other externally at P. AB is a direct common tangent to the two circles, A and B are points of contact, and ∠PAB = 40° . The measur...
- The area of a rectangular field is 2880 m² and its length to breadth in the ratio of 5 : 1. What is the perimeter of the field.
Relevant for Exams:
