Menu Close

A-pen-with-a-cylindrical-barrel-of-diameter-2-cm-and-height-10-5-cm-filled-with-ink-can-write-3300-words-How-many-words-can-be-written-with-that-pen-using-100-ml-of-ink-Take-1cc-1-ml-




Question Number 7489 by Obenfo last updated on 31/Aug/16
A pen with a cylindrical barrel of  diameter 2 cm and height 10.5 cm,  filled with ink, can write 3300 words.  How many words can be written with  that pen using 100 ml of ink.  (Take 1cc = 1 ml)
$$\mathrm{A}\:\mathrm{pen}\:\mathrm{with}\:\mathrm{a}\:\mathrm{cylindrical}\:\mathrm{barrel}\:\mathrm{of} \\ $$$$\mathrm{diameter}\:\mathrm{2}\:\mathrm{cm}\:\mathrm{and}\:\mathrm{height}\:\mathrm{10}.\mathrm{5}\:\mathrm{cm}, \\ $$$$\mathrm{filled}\:\mathrm{with}\:\mathrm{ink},\:\mathrm{can}\:\mathrm{write}\:\mathrm{3300}\:\mathrm{words}. \\ $$$$\mathrm{How}\:\mathrm{many}\:\mathrm{words}\:\mathrm{can}\:\mathrm{be}\:\mathrm{written}\:\mathrm{with} \\ $$$$\mathrm{that}\:\mathrm{pen}\:\mathrm{using}\:\mathrm{100}\:\mathrm{ml}\:\mathrm{of}\:\mathrm{ink}. \\ $$$$\left(\mathrm{Take}\:\mathrm{1cc}\:=\:\mathrm{1}\:\mathrm{ml}\right) \\ $$
Answered by sandy_suhendra last updated on 31/Aug/16
the volume of cylindrical = πr^2 h = ((22)/7)×1^2 ×10.5 = 33 cc  100 cc ink can write = ((100)/(33))×3,300 words=10,000 words
$${the}\:{volume}\:{of}\:{cylindrical}\:=\:\pi{r}^{\mathrm{2}} {h}\:=\:\frac{\mathrm{22}}{\mathrm{7}}×\mathrm{1}^{\mathrm{2}} ×\mathrm{10}.\mathrm{5}\:=\:\mathrm{33}\:{cc} \\ $$$$\mathrm{100}\:{cc}\:{ink}\:{can}\:{write}\:=\:\frac{\mathrm{100}}{\mathrm{33}}×\mathrm{3},\mathrm{300}\:{words}=\mathrm{10},\mathrm{000}\:{words} \\ $$

Leave a Reply

Your email address will not be published. Required fields are marked *