Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • NCERT
  • A factory manufactures 120000 pencils daily. The pencils are cylindrical in shape each of length 25 cm and circumference of base as 1.5 cm. Determine the cost of colouring the curved surfaces of the pencils manufactured in one day at Rs 0.05 per dm2.

A factory manufactures 120000 pencils daily. The pencils are cylindrical in shape each of length 25 cm and circumference of base as 1.5 cm. Determine the cost of colouring the curved surfaces of the pencils manufactured in one day at Rs 0.05 per dm2.

Answers (1)

Answer Rs. 2250

Solution

Given

\text{Circumference of base}=1.5cm

2\pi r=1.5cm

r=\frac{1.5}{2\times22}\times7

r=\frac{15\times7}{10\times44}=\frac{105}{440}=0.2386cm

\text{Radius }=0.2386cm

\text{Height}=25cm

\text{Curved surface area of one pencil}=2\pi r h

=2\times\frac{22}{7}\times0.2386\times25=\frac{262.46}{7}

=37.49cm^2

1cm=\frac{1}{10}dm

\Rightarrow \frac{37.49}{100}dm^2=0.3749dm^2

=0.375dm^2(approximately)

\text{Curved surface area of 120000 pencils}=0.375\times120000=45000dm^2

Cost of coloring 1dm2 in one day =0.05 Rs

Cost of coloring 45000 dm2=0.05 x 45000

= 2250 Rs.

 

Posted by

infoexpert21

View full answer

Similar Questions

Latest Question