Question 6: A medicine capsule is in the shape of a cylinder with two hemispheres stuck to each of its ends. The length of the entire capsule is 14 mm and the diameter of the capsule is 5 mm. Find its surface area. Solution: Given, Diameter of the capsule=5mm Radius of this capsule = `\frac{D}{2}`= 2.5mm Surface Area of capsule = CSA of Cylinders +2 (CSA of hemisphere) = 2πrh + 2(2`πr^2)` = 2πr [h+2r] [As, (h+2r)= height of Cylinder + 2 x Radius of hemisphere] = Total height of entire capsule = 14mm] = 2x `\frac{22}{7}` x 2.5 x 14 =` 220 mm^2` Question Number: 6 Question 7: A tent is in the shape of a cylinder surmounted by a conical top. If the height and diameter of the cylindrical part are 2.1 m and 4 m respectively, and the slant height of the top is 2.8 m, find the area of the canvas used for making the tent. Also, find the cost of the canvas of the tent at the rate of Rs 500 per `m^2`. (Note that the base of the tent will not be covered with canvas.) Solut...
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