Celeste made 6 cone-shaped ice blocks that each have radius of 2.8 in. and a height of 7 in. She used a cylindrical container with a radius of 9 in. to fill all of the cones. What is the height of the cylindrical container? Use 3.14 to approximate pi and round your answer to two decimal places. Show your work.

Will give medal!!!!

Question

Celeste made 6 cone-shaped ice blocks that each have radius of 2.8 in. and a height of 7 in. She used a cylindrical container with a radius of 9 in. to fill all of the cones. What is the height of the cylindrical container? Use 3.14 to approximate pi and round your answer to two decimal places. Show your work. 

Will give medal!!!!

anonymous · Answer

@bohotness

bohotness · Answer

?

anonymous · Answer

Can you help?

anonymous · Answer

Someone help?!  @Data_LG2

anonymous · Answer

first you have to know the formula of a cone? do you know the formula?

anonymous · Answer

Yep! V=1/3pi*r^2h

anonymous · Answer

okay great :D

so now you have to calculate the volume of one CONE using that formula

anonymous · Answer

i'll tell you the next step after you done with that :)

anonymous · Answer

Okay so I got 57.44106(repeating)7

anonymous · Answer

why you multiply it by 7? shouldn't it be 6?

anonymous · Answer

No the six is repeating and stops the 6s

anonymous · Answer

* 7*

anonymous · Answer

" 6 cone-shaped ice blocks "

anonymous · Answer

so it means, after you find out the value of the volume of one cone, you have to multiply it by 6... this outcome will be the volume of the cylinder

anonymous · Answer

okay so that's 344.6464

anonymous · Answer

$\sf \large \frac{1}{3} \pi r^2h= \frac{1}{3}(3.14)(2.8)^2(7)= 9.2022$

multiply it by 6 because you have 6 cones, that will be $\sf 9.02 \times 6 = 55.21$

this will be equal to the volume of the cylinder (:

do you know the formula?

anonymous · Answer

Sorta

anonymous · Answer

The answer is 6.13 isnt it

anonymous · Answer

$\sf V= \pi r^2h\55.21= (3.14)(9)^2h$

solve for h
$\sf \large h=\frac{55.21}{(3.14)(9^2)}$

anonymous · Answer

oops i made a mistake somewhere

anonymous · Answer

hmm give me a sec..

anonymous · Answer

$\color{blue}{\text{Originally Posted by}}$ @Data_LG2
$\sf \large \frac{1}{3} \pi r^2h= \frac{1}{3}(3.14)(2.8)^2(7)= 9.2022$

multiply it by 6 because you have 6 cones, that will be $\sf 9.02 \times 6 = 55.21$

this will be equal to the volume of the cylinder (:

do you know the formula?
$\color{blue}{\text{End of Quote}}$

this should be $\sf \large \frac{1}{3} \pi r^2h= \frac{1}{3}(3.14)(2.8)^2= 8.2058 \times 6=49.23$

$\sf V= \pi r^2h\49.23= (3.14)(9)^2h$


solve for h
$\sf \large h=\frac{49.23}{(3.14)(9^2)}=0.18$

hmm this is kind of strange....

anonymous · Answer

@confluxepic sorry i tagged you, can you help me please? tso is not online

confluxepic · Answer

@TheSmartOne

confluxepic · Answer

This is confusing.

thesmartone · Answer

Everything looks correct.

Hmm, @iambatman @Directrix @whpalmer4 
Can uoi please check? Thanks :)