A hemisphereical tank is filled with water and has a diameter of 16 feet. If water weighs 62.4 pounds per cubic foot, what is the total weight of the water in a full tank to the nearest pound

Explanation:

We know that the volume of a sphere is:

V

=

4

3

π

r

3

where

r

=

10

2

=

5

ft

is the radius;

we need half of this, so we use:

V

2

=

2

3

π

r

3

=

261.8

ft

3

giving a total weight of water of:

W

=

261.8

⋅

62.4

=

16

,

336

pounds

3

step-by-step explanation:

in standard form:

a= dictionaries

b= maps

you have to buy 3 dictionaries, so put a 3 next to the a (dictionaries) so that you can multiply them by each other.

a3+b= 60 (the amount of money you have)

we already know the cost of a=15 so replace a with $15

($15 x 3)+b=60

multiply 15 and 3 to get $45 and replace it with $45

45+b=60

and then replace b with 15 to get the total:

45+15=60

that means you have $15 left after buying 3 dictionaries.

15 divided by the cost of a map ($5) equals 3.

so you can buy 3 maps.

sorry if it was confusing!