Question
The radii of two solid right circular cylinders are 4 cm and 3 cm respectively and their heights are (h+1) cm and (2h+1) cm respectively. If the areas of the whole surface of the two cylinders are equal, then the ratio of their volumes is:
Whole surface area of cylinder = 2πR(H+R) 2π x 4[h+1+4] = 2π x 3[2h+1+3] 4[h+5] = 3[2h+4] 4h+20 = 6h+12 2h = 8 h = 4 so, V1/V2 = (π x 42 x (h+1))/(π x 32 x (2h+1)) = (16 x (4+1))/(9 x (2x4+1)) = (16 x 5)/(9 x 9) = 80/81More Mensuration Questions
- A right circular cylinder having total surface area of 16940 cm2 is immersed in a vessel completely filled with water. If the height of the cylinder is 20%...
- 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?
- The external dimensions of a cuboidal container, with a thickness of 2 cm, are 24 cm in length, 20 cm in breadth, and 18 cm in height. If each cubic centim...
- When the area of a square carpet is 676 m2 then what will be the perimeter of the rectangle whose length is 4 more than the side of the square and breadth ...
- The lateral surface area of a cube is 100 cm2 . The length of a cuboid is 40% more than the side of the cube. The breadth of the cuboid is 6 cm less than i...
- If perpendicular and base of a right-angle triangle are 30 cm and 40 cm respectively, then find the length of the shortest median of triangle.
- A cylindrical tank has a radius of 7 meters and a height of 10 meters. Find the volume of the tank in cubic meters.
- Find the total surface area of a cuboid that is formed by merging two identical cubes, where the surface area of each cube is given as 384 cm².
- The diameter of the base of a cylindrical vessel is 20 cm and its height is 35 cm. Find its curved surface area (in cm²).
- Determine the volume (in cubic centimeters) of a cuboid whose adjacent face areas measure 320 cm², 480 cm², and 216 cm², respectively.
Hey! Ask a query
Please enter email id
The email must be a valid email address.
Please enter Mobile Number
Please enter valid Mobile Number
Please enter your Doubt
