Question

Container A is cylinder with a radius of 10 units and a height of 10 units. A right cone has been carved from its base and has a height of 10 units. Container B has the same radius as container A. Which statement derives the formula to find the volume of container B?
1 over 3π(102)(10) − π (102)(10)

2[1 over 3π(102)(10) − π(102)(10)]

π(102)(10) − 1 over 3π(102)(10)

2[π(102)(10) − 1 over 3π(102)(10)]

Answer 1

Answer:

Step-by-step explanation:

The formula for determining the volume of a cylinder is expressed as

Volume = πr²h

Where

r represents the radius of the cylinder.

h represents the height of the cylinder.

From the information given,

Height = 10 units

Radius = 10 units

Volume = π × 10² × 10

The formula for determining the volume of a cone is expressed as

Volume = 1/3πr²h

Height = 10 units

Base = 10 units

Volume = 1/3 × π × 10² × 10

Since the cone has been carved from the cylinder, the statement that derives the formula to find the volume of container B is

π × 10² × 10 - 1/3 × π × 10² × 10