Surface Areas And Volumes

A factory manufactures 120000 pencils daily. The pencils are cylindrical in shape each of length 25 cm and circumference of base as 1.5 cm. Determine the cost of colouring the curved surfaces of the pencils manufactured in one day at Rs 0.05 per dm2.

The state of pencil = chamber. Let the sweep of base = r cm Outline of base = 1.5 cm Boundary of circle is 2πr = 1.5 cm r = 1.5/2π cm As per the inquiry, Tallness, h = 25 cm We realize that, Bended...

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The barrel of a fountain pen, cylindrical in shape, is 7 cm long and 5 mm in diameter. A full barrel of ink in the pen is used up on writing 3300 words on an average. How many words can be written in a bottle of ink containing one fifth of a litre?

Allow us first to work out the volume of barrel of pen that is of round and hollow shape Think about barrel, Since 1cm = 10 mm Base width = 5 mm = 0.5 cm Base span, r = 0.25 cm Stature, h = 7 cm We...

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How many cubic centimetres of iron is required to construct an open box whose external dimensions are 36 cm, 25 cm and 16.5 cm provided the thickness of the iron is 1.5 cm. If one cubic cm of iron weighs 7.5 g, find the weight of the box.

Let the length (l), breath (b), and stature (h) be the outside element of an open box and thickness be x. The volume of metal utilized in box = Volume of outer box – Volume of inner box Think about...

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A metallic spherical shell of internal and external diameters 4 cm and 8 cm, respectively is melted and recast into the form a cone of base diameter 8cm. The height of the cone is (A) 12cm (B) 14cm (C) 15cm (D) 18cm

(B) 14cm Volume of circular shell = Volume of cone recast by liquefying For Spherical Shell, Inside measurement, d1 = 4 cm Inside range, r1 = 2 cm [ as range = 1/2 diameter] Outer measurement, d2 =...

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A hollow cube of internal edge 22cm is filled with spherical marbles of diameter 0.5 cm and it is assumed that 1/8 space of the cube remains unfilled. Then the number of marbles that the cube can accommodate is (A) 142296 (B) 142396 (C) 142496 (D) 142596

(A) 142296   As indicated by the inquiry,   Volume of block =223=10648cm3   Volume of block that stays unfilled \[=1/8\times 10648=1331cm3\]   volume involved by circular marbles...

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A cone is cut through a plane parallel to its base and then the cone that is formed on one side of that plane is removed. The new part that is left over on the other side of the plane is called (A) a frustum of a cone (B) cone (C) cylinder (D) sphere

(A) a frustum of a cone At the point when a cone is isolated into two sections by a plane through any point on its pivot corresponding to its base, the upper and lower parts got are cone and a...

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Choose the correct answer from the given four options: A cylindrical pencil sharpened at one edge is the combination of (A) a cone and a cylinder (B) frustum of a cone and a cylinder (C) a hemisphere and a cylinder (D) two cylinders.

(A) a cone and a cylinder The Nib of a sharpened pencil = conical shape The rest of the part of a sharpened pencil = cylindrical Therefore, a pencil is a combination of cylinder and a cone.

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A farmer connects a pipe of internal diameter 20 cm from a canal into a cylindrical tank in her field, which is 10 m in diameter and 2 m deep. If water flows through the pipe at the rate of 3 km/h, in how much time will the tank be filled?

Think about the accompanying graph Volume of water that streams in t minutes from pipe \[=\text{ }t\times 0.5\pi \text{ }m^3\] Volume of water that streams in t minutes from pipe = \[t\times 0.5\pi...

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