A factory manufactures 120000 pencils daily. | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) The curved surface area of a cylinder is given by $CSA = 2 \pi r h$,where $2 \pi r$ is the circumference of the base and $h$ is the length (height

Vedclass · Accepted Answer

$2250$

Vedclass · Answer

(C) The curved surface area of a cylinder is given by $CSA = 2 \pi r h$,where $2 \pi r$ is the circumference of the base and $h$ is the length (height).Given,circumference of the base $= 1.5 \,cm$ and length $h = 25 \,cm$.Curved surface area of one pencil $= 1.5 \,cm 	imes 25 \,cm = 37.5 \,cm^2$.Since $1 \,dm = 10 \,cm$,then $1 \,dm^2 = 100 \,cm^2$. Therefore,$1 \,cm^2 = 0.01 \,dm^2$.Curved surface area of one pencil in $dm^2 = 37.5 	imes 0.01 = 0.375 \,dm^2$.Total curved surface area for $120000$ pencils $= 120000 	imes 0.375 \,dm^2 = 45000 \,dm^2$.Cost of colouring $= 45000 \,dm^2 	imes \operatorname{Rs.} 0.05/dm^2 = \operatorname{Rs.} 2250$.

$A$ factory manufactures $120000$ pencils daily. The pencils are cylindrical in shape,each of length $25 \,cm$ and circumference of base $1.5 \,cm$. Determine the cost of colouring the curved surfaces of the pencils manufactured in one day at $\operatorname{Rs.} 0.05$ per $dm^2$ (in $Rs.$).

Similar Questions

How many shots,each having a diameter of $3 \, cm$,can be made from a cuboidal lead solid of dimensions $9 \, cm \times 11 \, cm \times 12 \, cm$?

Write 'True' or 'False' and justify your answer:
Two identical solid hemispheres of equal base radius $r \text{ cm}$ are joined together along their bases. The total surface area of the resulting solid is $6 \pi r^{2}$.

The radius of a cone is $15 \, cm$ and its base is hemispherical. If the total height of the solid is $55 \, cm$,find its volume in $cm^3$.

The radius and the height of a cylinder are $28 \, cm$ and $54.5 \, cm$ respectively. It is closed at one end by a hemisphere and at the other end by a $21 \, cm$ high cone. Find the total surface area of the combined article. (in $cm^2$)

$A$ building is in the form of a cylinder surmounted by a hemispherical dome (see figure). The base diameter of the dome is equal to $\frac{2}{3}$ of the total height of the building. Find the height of the building,if it contains $67 \frac{1}{21} \, m^3$ of air. (in $m$)

Vedclass Test Series

Exam Paper Generator

Online Exam Module