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.

Answer 1

This question is incomplete

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.