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Complete Question
Hal says the volume of the sphere shown below is 36 cm³.Find the correct volume, using 3.14 for π. Round to the nearest hundredth. What was Hal's likely error? Use the drop-down menus to explain your answer.
Radius of the sphere = 3 cm
Answer:
a) The volume of the sphere = 113cm³
b) Hal's likely error was :
He used the wrong formula and did not make use of π = 3.14 in his calculation.
Step-by-step explanation:
a) The Volume of a Sphere = 4/3πr³
The radius of the sphere = 3cm
π = 3.14
The volume of the sphere = 4/3 × 3.14 × 3³
= 113.04 cm³
Approximately to the nearest hundredth = 113cm³.
b) Hal's likely error comes in two forms:
1) 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) Also he did not use π in his calculation.
This means Hal's calculation=
Surface Area of a Sphere = 4πr²
But Hal's used = 4r²
Where r = 3cm = 4 × (3cm)²= 36 cm³
This is wrong.
