Multiple choice

Directions: In the given question, two quantities are given, one as 'Quantity 1' and another as 'Quantity 2'. You have to determine the relationship between the two quantities and choose the appropriate option. The volume of a solid sphere is 38,808 cm3. Quantity 1: The curved surface area of a cylinder in cm2, if the radius of the cylinder is 50% of the radius of the solid sphere and the height of the cylinder is 16 cm Quantity 2: 45% of the curved surface area of a cone in cm2, if the radius of the cone is the same as the radius of the solid sphere and the height of the cone is 28 cm

  1. Quantity 1 > Quantity 2

  2. Quantity 1 ≥ Quantity 2

  3. Quantity 2 > Quantity 1

  4. Quantity 2 ≥ Quantity 1

  5. Quantity 1 = Quantity 2 or Relation cannot be established
Reveal answer Fill a bubble to check yourself
A Correct answer
AI explanation

Using the sphere volume formula of four-thirds times pi times radius cubed equals 38,808, the radius of the sphere calculates to 21 cm. For Quantity 1, the cylinder radius is 50 percent of 21, which is 10.5 cm, and its curved surface area is 2 times pi times 10.5 times 16, yielding 336 times pi. For Quantity 2, the cone has a radius of 21 cm and a slant height of 35 cm found via the Pythagorean theorem, making 45 percent of its curved surface area 0.45 times pi times 21 times 35, which equals 330.75 times pi. Therefore, Quantity 1 is greater than Quantity 2.

Keep practicing — related questions