Areas & Volumes — practice questions, page 9
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QuestionA searchlight fixed on a watchtower lights the ground out to a distance of 63 m and swings through…QuestionA sheet of glass measures 2.4 m by 1.25 m. Find its area in cm².QuestionA square field has an area of 1.44 hectares. Find the cost of fencing it right round at ₹25 per…QuestionA garden roller is 1 m long and 84 cm in diameter. It makes 500 complete revolutions to level a…QuestionTwo conical paper funnels are similar in shape; the smaller stands 12 cm tall and the larger 18…QuestionTwo cylindrical drums are similar in shape and the larger holds eight times as much as the…QuestionA rectangular sheet of tin 44 cm by 33 cm is curled round until its two 33 cm edges meet, so the…QuestionA cylindrical tin of radius 10.5 cm and height 12 cm is to be wrapped once round its curved…QuestionA cylindrical water tank of radius 3.5 m and height 5 m stands open at the top. A flat circular…QuestionA conical hollow is scooped out of a solid cylinder of radius 6 cm and height 8 cm: the cone has…QuestionA wooden toy is a cube of edge 14 cm with a hemisphere of the largest possible radius fixed…QuestionA solid sphere of radius 7 cm is sliced into two equal halves by a single cut through its centre.…QuestionA solid cylinder of radius 7 cm and height 20 cm is cut into two equal pieces by a plane…QuestionA solid cube of edge 12 cm is cut into 64 identical smaller cubes. How many cm² of fresh surface…QuestionA solid cone of base radius 9 cm and vertical height 12 cm is sliced right through by a plane…QuestionThe base of a cylindrical vessel has circumference 132 cm and the vessel is 25 cm deep. How many…QuestionA rectangular tank whose base measures 4 m by 3 m holds 24000 litres of water when filled to the…QuestionA conical vessel has base radius 10 cm and depth 21 cm. Find its capacity in litres. Take π = 22/7.QuestionA cylindrical can of internal radius 7 cm holds water to a depth of 12 cm. All of this water is…QuestionA rectangular tank with base 40 cm by 22 cm holds some water. A solid metal cylinder of radius 7…QuestionEarth dug out of a well 14 m across and 6 m deep is banked evenly all round the mouth of the well…QuestionWater runs along a canal 5 m wide and 2 m deep at 8 km per hour. For how many minutes must it run…QuestionA lampshade is a frustum open at both ends, its two rims having radii 18 cm and 10 cm and its…QuestionTwo cylinders have equal curved surface areas and their radii are in the ratio 2 : 3. Find the…QuestionA cone and a cylinder have the same height and the same volume. Find the ratio of the radius of…
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