Advertisements
Advertisements
Question
The diameter of a garden roller is 1.4 m and it 2 m long. Find the maximum area covered by its 50 revolutions?
Advertisements
Solution
Diameter of the roller = 1.4 m
Radius (r) = `1.4/2` = 0.7 m
and length (h) = 2m
Curved surface area = 2πrh = 2 x `22/7` x 0.7 x 2 cm2 = 8.8 m2
Area covered in 50 complete revolutions = 8.8 x 50 m2 = 440 m2
Area of the playground = 440 m2
APPEARS IN
RELATED QUESTIONS
Three equal cubes are placed adjacently in a row. Find the ratio of total surface area of the new cuboid to that of the sum of the surface areas of the three cubes.
What will happen to the volume of a cuboid if its Length is doubled, height is doubled and breadth is sama?
How many soap cakes can be placed in a box of size 56 cm × 0.4 m × 0.25 m, if the size of a soap cake is 7 cm × 5 cm × 2.5 cm?
What will be the height of a cuboid of volume 168 m3, if the area of its base is 28 m2?
A swimming pool is 250 m long and 130 m wide. 3250 cubic metres of water is pumped into it. Find the rise in the level of water.
A swimming pool is 20 m long 15 m wide and 3 m deep. Find the cost of repairing the floor and wall at the rate of Rs 25 per square metre.
The perimeter of a floor of a room is 30 m and its height is 3 m. Find the area of four walls of the room.
The breadth of a room is twice its height, one half of its length and the volume of the room is 512 cu. dm. Find its dimensions.
The dimensions of a cinema hall are 100 m, 50 m and 18 m. How many persons can sit in the hall, if each person requires 150 m3 of air?
A cuboid has total surface area of 372 cm2 and its lateral surface area is 180 cm2, find the area of its base.
The volume of a cube whose surface area is 96 cm2, is
Three cubes of each side 4 cm are joined end to end. Find the surface area of the resulting cuboid.
On a particular day, the rain fall recorded in a terrace 6 m long and 5 m broad is 15 cm. The quantity of water collected in the terrace is
The sum of the length, breadth and depth of a cuboid is 19 cm and its diagonal is ` 5 sqrt(5)` cm. Its surface area is
A closed rectangular box is made of wood of 1.5 cm thickness. The exterior length and breadth are respectively 78 cm and 19 cm, and the capacity of the box is 15 cubic decimeters. Calculate the exterior height of the box.
Find the volume and the total surface area of a cuboid, whose :
length = 15 cm, breadth = 10 cm and height = 8 cm.
The volume of a cuboid is 7.68 m3. If its length = 3.2 m and height = 1.0 m; find its breadth.
The total surface area of a cube is 216 cm2. Find its volume.
The capacity of a rectangular tank is 5.2 m3 and the area of its base is 2.6 x 104 cm2; find its height (depth).
Find the height of the cylinder whose radius is 7 cm and the total surface area is 1100 cm2.
The sum of the radius and the height of a cylinder is 37 cm and the total surface area of the cylinder is 1628 cm2. Find the height and the volume of the cylinder.
The length and breadth of a cuboid are 20 cm and 15 cm respectively. If its volume is 2400 cm3, find its height.
A square plate of side 'x' cm is 4 mm thick. If its volume is 1440 cm3; find the value of 'x'.
A closed box is made of wood 5 mm thick. The external length, breadth and height of the box are 21 cm, 13 cm and 11 cm respectively. Find the volume of the wood used in making the box.
The dimensions of a cuboidal box are 6 m × 400 cm × 1.5 m. Find the cost of painting its entire outer surface at the rate of ₹ 22 per m2.
Three identical cubes of side 4 cm are joined end to end. Find the total surface area and lateral surface area of the new resulting cuboid
Opposite faces of a cuboid are ______ in area.
Find the length of the largest pole that can be placed in a room of dimensions 12 m × 4 m × 3 m.



