Question

A bricklayer uses a cylinder to store sand. The cylinder is 5 ft tall and has a radius of 0.5 ft. Each batch of mortar contains 0.48 ft3 of sand.


How many batches of mortar can the bricklayer make with 1 cylinder of sand?

Use 3.14 to approximate pi, andround your final answer to the nearest whole number.


______

Answer 1

@shamim

Answer 2

can u help? @shamim

Answer 3

@Michele_Laino can u help?

Answer 4

ok! I try!

Answer 5

ok

Answer 6

we have to compute the volume of the cylinder first

Answer 7

ok

Answer 8

hint:
the volume V of a cylinder is given by the subsequent formula:
\[\Large V = \pi \times {R^2} \times H\]

Answer 9

where R is the radius, and H is the height of our cylinder

Answer 10

idk

Answer 11

hint:
\[\Large V = \pi \times {R^2} \times H = 3.14 \times {\left( {0.5} \right)^2} \times 5 = ...?\]

Answer 12

what is V?

Answer 13

omg i no it but i forgot :c

Answer 14

srry

Answer 15

idk

Answer 16

we have:
\[\Large \begin{gathered}
V = \pi \times {R^2} \times H = 3.14 \times {\left( {0.5} \right)^2} \times 5 = \hfill \\
= 3.14 \times 0.25 \times 5 = 3.14 \times 1.25 = 3.925\;f{t^3} \hfill \\
\end{gathered} \]

Answer 17

so its 3.925?

Answer 18

is that corrected @Michele_Laino

Answer 19

wait is it 5?

Answer 20

that's the volume of the cylinder. Now we have to divide 3.925 by 0.48:
\[\Large {\text{number of butch of mortar}} = \frac{{3.925}}{{0.48}} = ...?\]

Answer 21

butches*

Answer 22

what do you get?

Answer 23

ummm?

Answer 24

more explanation:
in order to make one butch of mortar, we need of 0.48 ft^3 of sand, now our cylinder contains 3.925 ft^3 of sand, so, in order to know how many butches of mortar, we can make with the sand contained in our cylinder, we have to divide 3.925 by 0.48

Answer 25

im geting really long numbers

Answer 26

we have to round off the result to the nearest unit

Answer 27

oh ok

Answer 28

so, what is:
\[\Large \frac{{3.925}}{{0.48}} = ...?\]
you can use Windows calculator, for example

Answer 29

8.17708333 ?

Answer 30

ok! Now you have to round off that result to the nearest unit, what do you get?

Answer 31

idk my sis is confusing me shes telling me something else

Answer 32

can u tell me?

Answer 33

the answer is 8

Answer 34

oooh thats what i thought but my sis said no its not lol

Answer 35

ty

Answer 36

thank you!