Question

If the height of a cylinder is tripled, but the area of the base stays the same, what happens to the volume?

The volume doubles.
The volume triples.
The volume is four times greater.
The volume is nine times greater.

What happens to the volume of a square pyramid if the base dimensions remain the same, but the height is cut to one third of the original?

The volume becomes 1/9 of original.
The volume becomes 1/3 of original.
The volume becomes 3 times larger than original.
The volume becomes 9 times larger than original.

Answer 1

1. volume triples

Answer 2

:3thanks

Answer 3

2) one third original

Answer 4

thanks

Answer 5

no its 1/9 lmao

Answer 6

The volume of a square pyramid is
V = (1/3)Ah
where A = area of base and h = height

For a pyramid with base area A and height h, V = (1/3)Ah
If you now substitute h with h/3, you get V = (1/3)(Ah/3) = (1/9)Ah

(1/9)Ah is one-third of (1/3)Ah

Answer 7

boom logic ^^^

Answer 8

The volume, V, of a square based pyramid in cubic units is given by
V=1/3 x A x h
where A is the area of the base and h is the height of the pyramid.

Answer 9

original volume of pyramid = 1/3 x A x h

nw the height is 1/3rd of original

volume = 1/3 x A x h/3
=(1/3 x A x h)/3
= original volume/3

Answer 10

wrong @imqwerty

Answer 11

tell me where am i wrong??

Answer 12

V = (1/3)(Ah/3) = (1/9)Ah

Answer 13

ok we have original volume 1/3(Ah)

Answer 14

now the height becomes one third so height=h/3

Answer 15

new volume= 1/3 Ah x 1/3
=original volume /3