Question

Quantity I: The radius of a cone is twice the radius of

Q: Answer-Quantity I: The radius of a cone is twice the radius of a sphere, and the total surface area of the...

Answer C From quantity I, SA of sphere 4 227 r r 154 4 227 r r Radius of the sphere 3.5 cm Radius of the cone 2 3.5 7 cm SA of cone 227 r l r 704 227 7 l 7 32 l 7 l 25 cm Height of the cone 252 72 24 cm Length of the rectangle 24 cm Perimeter of the rectangle 154 66 88 cm Breadth of the rectangle 882 24 20 cm Area of the rectangle 20 24 480 cm2 From quantity II, SA of cube 6a2 864 a 12 cm Length of the cuboid 150100 12 18 cm Height of the cuboid 18 46 12 cm Base of cuboid 18 36 9 cm Volume of the cuboid 9 12 18 1944 cm3 Required Answer 1944 25100 486 cm3 Quantity I quantity II

a sphere, and the total surface area of the cone is 704 cm². The height of the cone is equal to the length of a rectangle, and the perimeter of the rectangle (in cm) is 66 units less than the total surface area of the sphere, which is 154 cm². What is the area of the rectangle? Quantity II: The length of a cuboid is 50% greater than the side of a cube, which has a surface area of 864 cm². The ratio of the height, length, and base of the cuboid is 4:6:3. Find 25% of the volume of the cuboid. Following questions have two quantities as Quantity I and Quantity II. You have to determine the relationship between them and give an answer.

A Quantity I > Quantity II

B Quantity I ≥ Quantity II

C Quantity II > Quantity I

D Quantity II ≥ Quantity I

E Quantity I = Quantity II or Relation cannot be established

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