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4 8:25 ©, , centre O and another tangent AB with the point of contact C, intersecting XY at A and X' Y’ at B. Prove that ZAOB = 90°, x Pp AY, , , , ya), he), , , , , , 12, , , , A solid consisting of a right circular cone of height 120 cm and, radius 60 cm standing on a hemisphere of radius 60 cm is placed, upright in a right circular cylinder full of water such that it touches, the bottom. Find the volume of water left in the cylinder, if the, radius of the cylinder is 60 cm and its height is 180 cm., OR, , A wooden article was made by scooping out a hemisphere from, each end of a solid cylinder, as shown in Figure. If the height of the, cylinder is 12 cm and its base is of radius 4.2 cm. Find the total, surface area and volume of the article., , , , , , , , Page No. 2, , , , 13., , Case study-1, Karan and his sister Riddhima visited at their uncle’s place-Bir,, Himachal Pradesh. During day time Karan, who is standing on the, ground spots a paraglider at a distance of 100 m from him at an, elevation of 30°. His sister Riddhima is also standing on the roof of, a 20 m high building observes the elevation of the same paraglider, as 45°. Karan and Riddhima are on the opposite sides of the, paraglider., , Based on the above information, answer the following questions., , i. Make a labelled figure on the basis of the given information, and calculate the distance of paraglider from the ground., , ii. Calculate the distance between the paraglider and the, Riddhima. What is the angle of elevation if the distance, between paraglider and Karan becomes half of the previous, distance., , , , , , 14., , , , Case study-2, India is a competitive manufacturing location due to the low cost of, manpower and strong technical and engineering capabilities, contributing to higher quality production runs. The production of, TV sets in a factory increases uniformly by a fixed number every, year. It produced 16000 sets in the 6"" year and 22600 in 9" year., , , , i. Find the production during the first year ., ii. Find the year in which the production was Rs 29,200. Also, find the difference of the production during 7" year and 4", , year.
