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The ratio between the curved surface area and the total surface area of a cylinder is 1: 2. Find the ratio between the height and the radius of the cylinder.
Concept: undefined >> undefined
Find the capacity of a cylindrical container with an internal diameter of 28 cm and a height of 20 cm.
Concept: undefined >> undefined
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The total surface area of a cylinder is 6512 cm2 and the circumference of its bases is 88 cm. Find:
(i) its radius
(ii) its volume
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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.
Concept: undefined >> undefined
A cylindrical pillar has a radius of 21 cm and a height of 4 m. Find:
- The curved surface area of the pillar.
- cost of polishing 36 such cylindrical pillars at the rate of ₹12 per m2.
Concept: undefined >> undefined
If radii of two cylinders are in the ratio 4 : 3 and their heights are in the ratio 5: 6, find the ratio of their curved surfaces.
Concept: undefined >> undefined
A cuboid is 8 m long, 12 m broad and 3.5 high, Find its
(i) total surface area
(ii) lateral surface area
Concept: undefined >> undefined
The external dimensions of an open wooden box are 65 cm, 34 cm, and 25 cm. If the box is made up of wood 2 cm thick, find the capacity of the box and the volume of wood used to make it.
Concept: undefined >> undefined
The floor of a rectangular hall has a perimeter 250 m. If the cost of painting the four walls at the rate of ₹ 10 per m2 is ₹ 15,000, find the height of the hall.
Concept: undefined >> undefined
The diameter of a garden roller is 1.4 m and it 2 m long. Find the maximum area covered by its 50 revolutions?
Concept: undefined >> undefined
In a building, there are 24 cylindrical pillars. For each pillar, the radius is 28 m, and the height is 4 m. Find the total cost of painting the curved surface area of the pillars at the rate of ₹ 8 per m2.
Concept: undefined >> undefined
The curved surface area and the volume of a toy, cylindrical in shape, are 132 cm2 and 462 cm3 respectively. Find, its diameter and its length.
Concept: undefined >> undefined
Evaluate : (a+1) (a-1) (a2+1)
Concept: undefined >> undefined
Evaluate : (a+b) (a−b) (a2+b2)
Concept: undefined >> undefined
Evaluate : (2a−b) (2a+b) (4a2+b2)
Concept: undefined >> undefined
Evaluate : (3−2x) (3+2x) (9+4x2)
Concept: undefined >> undefined
Evaluate : (3x−4y) (3x+4y) (9x2+16y2)
Concept: undefined >> undefined
Use the product (a + b) (a – b) = a2 – b2 to evaluate:
21 x 19
Concept: undefined >> undefined
Use the product (a + b) (a – b) = a2 – b2 to evaluate:
33 x 27
Concept: undefined >> undefined
Use the product (a + b) (a – b) = a2 – b2 to evaluate:
103 x 97
Concept: undefined >> undefined
