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“What is the different between height and radius of solid cylinder?” Which of the following option is sufficient alone to find the answer? A) A solid cylinder is made by melting a solid sphere. The radius of cylinder is 3 times the radius of a circle whose area is 154 sq.m. Height of cylinder is equal to the height of cone whose volume is 2772 cubic meters. B) Area of a rectangle whose longer side is ¾ times the radius of a solid cylinder, is 168 sq.m and, Volume of solid cylinder is 2772 cubic meters and its height is 18 m. C) A metallic cone of radius 15m and height 35m is melted into the solid cylinder of radius equal to the radius of a circle whose area is equal to the area of rectangle whose sides are in the ratio 4 : 3 respectively. D) The curved surface area of the solid cylinder is 3 time the surface area of a sphere of radius 7m and height of cylinder is equal to the height of a metallic cone whose curved surface area is 308 sq.m. 

“What is the different between height and radius of solid cylinder?” Which of the following option is sufficient alone to find the answer? A) A solid cylinder is made by melting a solid sphere. The radius of cylinder is 3 times the radius of a circle whose area is 154 sq.m. Height of cylinder is equal to the height of cone whose volume is 2772 cubic meters. B) Area of a rectangle whose longer side is ¾ times the radius of a solid cylinder, is 168 sq.m and, Volume of solid cylinder is 2772 cubic meters and its height is 18 m. C) A metallic cone of radius 15m and height 35m is melted into the solid cylinder of radius equal to the radius of a circle whose area is equal to the area of rectangle whose sides are in the ratio 4 : 3 respectively. D) The curved surface area of the solid cylinder is 3 time the surface area of a sphere of radius 7m and height of cylinder is equal to the height of a metallic cone whose curved surface area is 308 sq.m.  Correct Answer Only B

From option (a):

Volume of cone = 2772 = (1/3) × (22/7) × (radius of cone)2 × height of cone

Area of circle = 154 = (22/7) × (radius of circle)2

Radius of circle = 7 m

Radius of cylinder = 3 × radius of circle = 21 m

Height of cylinder = height of cone

Radius of cone is not given. So, height of cylinder cannot be determined.

Hence, this option is not sufficient alone to find the answer.

From option (b):

Area of rectangle = 168 = length × breadth

Radius of cylinder = (4/3) × length

Height = 18 m

Volume of cylinder = 2772 = (22/7) × (radius of cylinder)2 × 18

Radius of cylinder = 7 m

Difference = 18 – 7 = 11 m

From option (c):

Volume of cylinder = volume of cone = (1/3) × (22/7) × 15 × 15 × 35 = 8250 cubic meters

8250 = (22/7) × (radius of cylinder)2 × height of cylinder

Radius of cylinder = radius of circle

Area of circle = area of rectangle = length × breadth = (4/3) × (breadth)2

Since, breadth is not given. So, radius and height of cylinder cannot be determined.

Hence, this option is not sufficient alone to find the answer.

From option (d) :

Area of cylinder = 3 × area of sphere = 3 × 4 × (22/7) × 7 × 7 = 1848 sq.m

1848 = 2 × (22/7) × radius of cylinder × height of cylinder

Area of cone = 308 sq.m = (22/7) × radius of cone × slant height of cone

Given data is not sufficient to determine the answer.

Hence, this option is not sufficient alone to find the answer.

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