Question

Which of the following statements is true about any sphere ? It has only two dimensions . Its cross section is in the shape of a circle . Its surface area is measured in cubic units . D. It has a radius that is always a perfect square .

Answer 1

1) It has only two dimensions . FALSE

2). Its cross section is in the shape of a circle . TRUE

3) Its surface area is measured in cubic units. FALSE

4) It has a radius that is always a perfect square. FALSE.

Explanation:

Sphere: Sphere is a 3 dimensional perfectly round object.

Here, all point lying at the circumference are at equal distance from the center.

The given statements are:

1) It has only two dimensions .

FALSE, a 2 D figure is a circle not a sphere. Sphere is 3 D.

2). Its cross section is in the shape of a circle .

TRUE, any cross section of a sphere is always a circle.

3) Its surface area is measured in cubic units.

FALSE, Surface area of a sphere =
`4 \pi r^2` sq. units

4) It has a radius that is always a perfect square.

FALSE. A sphere can be of any possible radius.