Calculate the surface area of a sphere with a volume of 1.5 cm³, given the formulas for a sphere: volume = 4/3πr³ and surface area = 4πr².

Question

Quizplus · Accepted Answer

First, solve for the radius (r) using the volume formula: $1.5 = \frac{4}{3}\pi r^3$. Solving for $r^3$ gives $r^3 = \frac{1.5 \times 3}{4\pi}$. Calculating $r^3$ and then finding $r$, we can substitute $r$ into the surface area formula: $4\pi r^2$. The correct calculation leads to a surface area of approximately $6.3 \, \text{cm}^2$, making option C correct.

Calculate the Surface Area of a Sphere with a Volume