Question

Hi Friends,

A solid Cylinder of radius 7 cm and height 20 cm is made of material Whose density is 6 g per cm^3. Find its cost at the rate of ₹ 100 per kilogram.

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Class - 9th
Chapter - Surface area & Volume

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Answer 1

Answer:

₹1848

Step-by-step explanation:

Radius = 7cm

Height = 20cm

Volume = $\frac{22}{7}$ × $r^{2}$ × h

= $\frac{22}{7}$ × 7 × 7 × 20

Volume = 3080$cm^{3}$

Density for 3080$cm^{3}$ = 3080 × 6

=  18480g = 18480/1000 = 18.48kg

Cost at the rate of  ₹ 100 per kilogram = 18.48 × 100

= ₹1848

Answer 2

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$\large\red{{ \fcolorbox{blue} {yellow}{ \underline{ \red{Required \: Aɴsᴡᴇʀ}}}}}$

$\sf \scriptsize{Given \: that} \sf \scriptsize{\begin{cases} \sf{Radius \: of \: Cylinder = 7 cm } \\ \sf{Height = 20 \: cm.} \end{cases}}$

$\sf \scriptsize{ \therefore \:Volume \: of \: the \: Cylinder = \pi \: r^{2} h } \\ \sf \scriptsize{ = \: \frac{22}{7} \times 7 \times 7 \times 20 = 3080 \: cm^{3} }$

$\sf \scriptsize{Now , density \: of \: the \: solid \: Cylinder \: = 6 \: gm / cm ^3}$

$\sf \scriptsize{Mass = Volume \times density = 3080 \times 6 gm = 18480 gm} \\ \sf \scriptsize { = \frac{18480}{1000} kg = 18.48 \: kg.}$

$\sf \scriptsize{Cost \: of \: Solid \: cylinder \: of \: 1 kg \: = ₹ 100} \\ \sf \scriptsize{\therefore \:Cost \: of \: Solid \: cylinder \: of \: 18.48 \: kg \: = ₹ 100 \times 18.48 = \red{₹1848}}$

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