Question

What is the surface area of a sphere whose radius is $6$ units and what is the volume of the sphere?

• A. Surface area of the sphere $=144\pi uni{t}^2$
  Volume of the Sphere $=144\pi uni{t}^3$
• B. Surface area of the sphere $=144\pi uni{t}^2$
  Volume of the Sphere $=288\pi uni{t}^3$
• C. Surface area of the sphere $=288\pi uni{t}^2$
  Volume of the Sphere $=144\pi uni{t}^3$
• D. Surface area of the sphere $=288\pi uni{t}^2$
  Volume of the Sphere $=288\pi uni{t}^3$

Answer 1

The correct option is B Surface area of the sphere $=144\pi uni{t}^2$

Volume of the Sphere $=288\pi uni{t}^3$
Let $r$ be the radius of the sphere.
Here, $r=6units$.

Surface area of the sphere $=4\pi r^2$
Surface area of the sphere $=4\pi (6{)}^2$
Surface area of the sphere $=144\pi uni{t}^2$

Volume of the Sphere $=\frac{4}{3}\pi r^3$

Volume of the Sphere $=\frac{4}{3}\pi (6{)}^3$

Volume of the Sphere $=288\pi uni{t}^3$