Description : The is a pdf of the Complete Sythnesizer. This book will not only teach the basics but will delve deep into more advanced practices and qualities of electronic music. Enjoy.
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158. On sides AB and DC of rectangle ABCD, points F and E are chosen so that AFCE is a rhombus. If AB = 16 and BC = 12, find EF. 159. The radius of a cylinder is increased by 16.67%. By what percent should the height of the cylinder be reduced to maintain the volume of the cylinder? (a) 10% (b) 14.28% (c) 16.67% (c) 20% (e) 25%
160. The ratio of the radius and height of a cylinder is 2:3. Further the ratio of the numerical of value of its curved surface area to its volume is 1:2. Find the total surface area of the cylinder. (a) 3π units (b) 6π units (c) 12π units (d) 24π units (e) 48π units
161. An ant starts from a point on the bottom edge of a circular cylinder and moves in a spiral manner along the curved surface area such that it reaches the top edge exactly as it completes two circles. Find 12 the distance covered by the ant if the radius of the cylinder is and height is 20 units?
π
(a) 2 61 units
(b) 4 61 units
(c) 24 units
(d) 52 units
(e) 60 units
162. A sphere is carved out of a cone with height 15cm and radius of base circle 12cm. What is the maximum volume of the cylinder? 163. A right circular cone of volume ‘P’, a right circular cylinder of volume ‘Q’ and sphere of Volume ‘R’ all have the same radius, and the common height of the cone and the cylinder is equal to the diameter of the sphere. Then : (a) P – Q + R = 0 (b) P + Q = R (c) 2P = Q + R (d) P2 – Q2 + R2 = 0 (e) 2P + 2Q = 3R 164. The volume of the solid generated by the revolution of an isosceles right angled triangle about its hypotenuse of length 3x is: 8πx3 (a) 3 (b) 8πx3
