This question is incomplete because the diagram of the sphere was not shown. Find attached to this answer the diagram for the sphere.
Answer:
a) The correct volume of the sphere = 113cm³
b) b) Hal's likely error was that
i) He used the wrong formula which is Surface area of the sphere(4πr²) in his calculation instead of the right formula which was the Volume of a Sphere(4/3πr³)
ii) In addition to using the wrong formula, Hal did not use π in his calculation.
Explanation:
a) The Volume of a Sphere = 4/3πr³
From the attached diagram, the radius of the sphere was given as = 3cm
π = 3.14
The volume of the sphere = 4/3 × 3.14 × 3³
= 113.04 cm³
We were told to round up to the nearest hundredth. Therefore, correct the volume of the sphere = 113cm³.
b) Hal's likely error was that
i) He used the wrong formula which is Surface area of the sphere(4πr²) in his calculation instead of the right formula which was the Volume of a Sphere(4/3πr³)
ii) In addition to using the wrong formula, Hal did not use π in his calculation.
This means:
Surface Area of a Sphere = 4πr²
But Hal's used = 4r²
Where r = 3cm = 4 × (3cm)² = 36