The lateral surface area of a hollow cylinder is 4224 cm2. It is cut along its height and formed a rectangular sheet of width 33 cm. Find the perimeter of rectangular sheet?
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Is it possible to design a rectangular mango grove whose length is twice its breadth, and the area is 800 m^2? If so, find its length and breadth.
Solution: Let Breadth = b. Given that length is twice its breath. Length of the rectangle = 2b. And given that area of rectangle = 800 m2 But area of rectangle = l x b...
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The curved surface area of a right circular cylinder of height 14 cm is 88 cm2. Find the diameter of the base of the cylinder.
Here, h = 14 cm, curved, surface area = 88 cm2, r = ? Curved surface area of the cylinder = 2πrh ⇒ 88 = 2 × 22/ 7 × r ×...
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Curved surface area of a right circular cylinder is 4.4 m2. If the radius of the base of the cylinder is 0.7 m, find its height.
Curved surface area of the cylinder = 4.4 m2, r = 0.7 m, h = ? Curved surface area of the cylinder = 2πrh. ⇒ 4.4 = 2 × 22/ 7 ×...
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Find (i) the lateral or curved surface area of a closed cylindrical petrol storage tank that is 4.2 m in diameter and 4.5 m high.
Here, r = 4. 2/ 2 m = 2.1 m, h = 4.5 m (i) Curved surface area of the storage tank = 2πrh = 2 × 22 7 × 2.1 × 4.5...
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A soft drink is available in two packs — (i) a tin can with a rectangular base of length 5 cm and width 4 cm, having a height of 15 cm
For tin can with rectangular 6 base. l = 5 cm, b = 4 cm, h = 15 cm Volume of the tin can = lbh = 5 × 4 × 15...
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If the lateral surface of a cylinder is 94.2 cm2 and its height is 5 cm, then find (i) radius of its base (ii) its volume (Use π = 3.14)
Here, h = 5 cm, 2πrh = 94.2 cm2. (i) 2πrh = 94.2 ⇒ 2 × 3.14 × r × 5 = 94.2 ⇒ r = 94. 2/ 2x 3.14x 5 = 3 Hence, base...
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(a) In a single slit diffraction experiment, the width of the slit is made double the original width.
(a) In a single slit diffraction experiment, if the width of the slit is made double the original width, then the size of the central diffraction band reduces to half...
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A hollow tube is carrying an electric current along its length distributed uniformly over its surface.
(b) is constant inside the tube (c) is zero at the axis
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The length of a rectangular plot is twice its breadth. If the area of the rectangular plot is 2592 sq metres
(e) Let the breadth of rectangular plot = x metre therefor Length = 2x metre According to the question, 2x × x = 2592 or, x2 =2592/2 = 1296 therefor x = √1296 = 36 therefor Lenght of...
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In a single-slit diffraction experiment, the width of the slit is made double the original width.
In single slit diffraction experiment fringe width is β = 2λD/d If d is doubled, the width of central maxima is halved. Thus size of central maxima is reduced to half. Intensity...
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