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3 votes
Please help!

A. 1145 cm^3
B. 1505 cm^3
C. 2123 cm^3
D. 2578 cm^3

Please help! A. 1145 cm^3 B. 1505 cm^3 C. 2123 cm^3 D. 2578 cm^3-example-1
User Toddcscar
by
8.3k points

2 Answers

3 votes
B.) 1505 cm^3
I hope this helps. (^_^)
User Etella
by
8.2k points
6 votes
Hey there :)

We do this the same way like the previous question

The large cylinder's volume

V =
\pir²h
40,635 =
\pir²(18)

(40635)/(18) = \pi r^2
2257.5 =
\pi

(2257.5)/( \pi ) = r²
r =
\sqrt{ (2257.5)/( \pi ) }
r = 26.8 cm

The ratio from big cylinder to the small one is:
18 : 6
This means the big cylinder is 3 times bigger than the small cylinder.


(26.8)/(3) = r
r = 8.9 cm (radius of small cylinder)

V (small cylinder) =
\pi(8.9)²(6)
= 1505 cm³

Your answer will be B) 1505 cm³




User James Ives
by
8.4k points