Question

12

DALILAH
Bakari is making a scale model of a large cylindrical building. The scale model has a volume that
of the building. To determine the radius and height of the scale model, Bakari divided both the ra
by 8 because the formula for the volume of a cylinder only has 2 variables.
Which statement is true?
Bakari is correct.
Bakari is incorrect. He should have divided the radius and height by 2.
Bakari is incorrect. He should have divided the radius and height by 4.
Bakari is incorrect. He should have divided the radius and height by 16.

Answer 1

Bakari is correct.

If the scale model has a volume that is 1/8 of the volume of the actual building, then the dimensions of the scale model must be 1/2 the dimensions of the actual building in order to maintain the same proportions. This means that Bakari should divide both the radius and height of the actual building by 2 in order to determine the radius and height of the scale model. Therefore, his method of dividing both the radius and height by 8 is correct.

Answer 2

Answer: Bakari is correct

Step-by-step explanation:

Bakari is correct. If he divided both the radius and height by the same factor (in this case, 8), then the resulting scale model will have the same proportions as the original building, just scaled down by a factor of 8. The formula for the volume of a cylinder is V = πr²h, which only has two variables (the radius and height). So if Bakari wants to maintain the same proportions of the cylinder in his scale model, he needs to divide both the radius and height by the same factor. This will result in a scale model with a volume that is 1/8th the volume of the original building.