Can someone please answer and provide an explanation for these problems?

Question

asked Jan 28, 2024 39.9k views

1 Answer

Jamesconant · Answer 1 · 2024-02-02T15:13:24+0000

Explanation:

The way you can think about volume is that we have some cross sectional area times the height of the solid.

27.

The volume of a square based pyramid is

$v = {s}^(2) ( (h)/(3) )$

where h is the height of the pyramid

s is the side length of the square base.

S=7

h=12

$v = {7}^(2) ( (12)/(3) ) = 49 * 4 = 196$

28. The volume of a rectangular prism

where l is length

w is width

h is height

29.

Use the same formula in 27

30.

Volume of a Cylinder is

$v = \pi {r}^(2) h$

where r is the radius of the circle

where h is the height

r is half of the diameter

The diameter is 22, thus the radius is 11.

$v = {11}^(2) (8)(\pi)$

$v = 968\pi$

pi is approximately 3.14

31. Volume of A Sphere

$(4)/(3) \pi {r}^(3) = v$

The radius is half of diamter, thus r=7

$(4)/(3) \pi( {7}^(3) ) = 1436.76$