IB Math Analysis & Approaches Topic 3: Geometry and trigonometry – Volume and surface area of three-dimensional solids-Questionbank- SL Paper 1

Question

The diameter of a spherical planet is 6 x 10⁴ km .

(a) Write down the radius of the planet.[1]

The volume of the planet can be expressed in the form π(a × 10^k) km³ where 1 ≤ a <10  and k ∈  \(\mathbb{Z}\)

(b) Find the value of a and the value of k . [3]