Question

a solid cylinder of radius 7 cm and height 20 cm is made of material whose density is 6 g per cm3.find its cost at the rate of rs 100per kilogram

Answer 1

volume of cylinder=πr²h
22/7×49×20
=3080cm³
mass=density×volume
mass=6×3080
18480g
18.48kg(1000g=1kg)
cost for 1kg=100
cost for 18.48kg=18.48×100
18.48rs answer
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Answer 2

A solid cylinder of radius 7 cm and height 20 cm is made of a material whose density is 6 g per $cm ^{3}$ its cost at the rate of rs 100 per kilogram is Rs. 1848.

Given:

The radius of the solid cylinder, r = 7 cm

The height of the solid cylinder, h = 20 cm

Density = 6 g per $cm ^{3}$

To find:  Cost at the rate of rs 100 per kilogram

Formula used:

The volume of the cylinder, V = πr²h

Mass = Volume × Density

Solution:

Step1: Find the volume of the cylinder:

V = πr²h

$V = \frac{22}{7} \times \ 7^{2} \ \times \ 20 \\\\\ V = \frac{22}{7} \times \ 49 \ \times \ 20 \\\\\ V = 22 \times \ 7 \ \times \ 20 \\\\\ V = 3080 \ cm^{3}$

Step2: Find the Mass of the cylinder:

Mass = Volume × Density

$Mass = 3080 \ \times 6 \\\\\ Mass = 18480 \ g \\\\ Mass = \frac{18480}{1000} \ Kg \\\\\ [1 g = \frac{1}{1000} \ Kg]$

Mass = 18.48 kg

Step3: Find the cost :

Cost of 1 kg of solid cylinder =  Rs. 100

Cost of 18.48 kg of solid cylinder = $18.48 \ \times 100$

Cost of 18.48 kg  of solid cylinder = Rs. 1848

Hence, the cost of the solid cylinder is Rs. 1848.

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