Need help very fast please!

Question

1.) The length, width, and height of a rectangular pyramid are multiplied by 1/2. Which of the following describes the effect on the volume?

A.) The volume is multiplied by 1/8.

B.) The volume is multiplied by 3/2.

C.) The volume is multiplied by 2.

D.) The volume is multiplied by 1/6.

2.) The radius and the height of the cylinder are multiplied by 1/3. What will be the effect on the volume of the cylinder?

A.) The volume is multiplied by 1/9.

B.) The volume is multiplied by 2/9.

C.) The volume is multiplied by 1/27.

D.) The volume is multiplied by 1/3.

Need help very quickly!

Answer 1

The forula for the area of a rectangular pyramid is 1/3(base)x height. since you are cutting all 3 dimensions in 1/2 volume will now be 1/8 that of the original (1/2x1/2x1/2)

Volume of a cylinder is area of the base(pi r^2) x height

Since the volume is proportional to the square of the radius (1/3x1/3=1/9) and directly proportional to the height (1/3)

So the volume will be (1/9) x (1/3) = 1/27