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  1. The Curved Surface Area of the Cylinder = 2 \pi r h. Total Surface Area of a Cylinder. Area of each circle can be found from the radius r of the circle. The area of a circle is \pi r 2, so the combined area of the two circles is 2 \pi r 2. The area of the rectangle is the breadth times height.

  2. Solution: The volume of the milk in the vessel = the total volume of the cylindrical vessel = πR 2 H. R = 30cm, and H= 60 cm. Here, R is the radius of the cylindrical vessel and H is the height of the vessel from the base = π × 30 × 30 × 60. Likewise, the volume of milk served by each glass = πr 2 h, r = 3cm and h = 6cm.

  3. So the area of the cylinder will be: 2πr² + 2πrh, or. Total Surface Area of Cylinder = 2πr ( r + h ) Where r is the radius and h is the height of the cylinder (the distance between the two bases). The Volume of a Cylinder. Suppose if we have a cylinder of radius r and height h, then the volume will be, V = πr²h.

  4. Given, total surface area of cylinder = 462 square cm. Also, CSA of cylinder = TSA of cylinder 3 ⇒ T S A = 2 π r h + 2 π r 2 ⇒ T S A = C S A + 2 π r 2 ⇒ T S A = T S A 3 + 2 π r 2 ⇒ 2 T S A 3 = 2 π r 2 ⇒ T S A 3 = π r 2 ⇒ 462 3 = 22 7 × r 2 ⇒ r = 7 c m

  5. The surface area of a cylinder varies jointly as the radius, and the sum of the radius and the height. A cylinder with height 8 c m and radius 4 c m has a surface area of 96 π c m 2 . Find the surface area of a cylinder with radius 3 c m and height 10 c m

  6. The total surface area of a cylinder = 660 cm². The radius of the cylinder = 5 cm. To Find, The height of the cylinder. Solution, The formula for calculating the total surface area of a cylinder is . T.S.A = 2πr(r+h) where, r is the radius of the cylinder and h is the height of the cylinder. Now, it is given that. Total surface area = 660 cm ...

  7. View Solution. The total surface area of a solid cylinder is 462cm2. Its curved surface area is one third of total surface area. Find the volume of the cylinder. View Solution. A solid cylinder has a total surface area of 231 cm 2. Its curved surface area is 2 3 of the total surface area. Find the volume of the cylinder.

  8. A solid cylinder of radius r and height h is placed over other cylinder of same height and radius. The total surface area of the shape so formed is 4 π r h + 4 π r 2 . View Solution

  9. The rato between the curved surface area and the total surface area of a right circular cylinder is 1:2.Find the volume of the cylinder if its total surface area is 616 c m 2. View Solution Q 4

  10. The rato between the curved surface area and the total surface area of a right circular cylinder is 1:2.Find the volume of the cylinder if its total surface area is 616 c m 2. View Solution Q 4

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