A container made up of a metal sheet is in the form of a frustum of a cone of height $14 c m$ with radii of its lower and upper ends as $4 c m$ and $10 c m$ respectively. Find the approximate cost of the milk which can completely fill the container at the rate of ₹30 per liter.

₹57

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₹60

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₹68

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₹69

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Solution

The correct option is D ₹69
$R = 10 c m, r = 4 c m, h = 14 c m$
Volume of the container $= \frac{1}{3} π h (R^{2} + r^{2} + r R$ )
$= \frac{1}{3} \times \frac{22}{7} \times \times 14 \times (100 + 16 + 40) c m^{3}$
$= \frac{1}{3} \times 44 \times 156 c m^{3}$
$= 2288 c m^{3}$
Therefore the quantity of milk in the container $= \frac{2288}{1000} = 2.29 l i t r e s$
Cost of the milk at ₹ 30 per litre $= 2.29 \times 30 = 68.7 = ₹ 69$

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Question 12
A milk container of height 16 cm is made of metal sheet in the form of a frustum of a cone with radii of its lower and upper ends as 8 cm and 20 cm respectively. Find the cost of milk at the rate of ₹ 22 per litre which the container can hold.

Q. Question 4
A container, opened from the top and made up of a metal sheet, is in the form of a frustum of a cone of height 16 cm with radii of its lower and upper ends as 8 cm and 20 cm, respectively. Find the cost of the milk which can completely fill the container, at the rate of ₹ 20 per litre. Also find the cost of metal sheet used to make the container, if it costs ₹ 8 per 100 square centimetres.

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A container made up of a metal sheet is in the form of a frustum of a cone of height 14 cm with radii of its lower and upper ends as 4 cm and 10 cm respectively. Find the approximate cost of the milk which can completely fill the container at the rate of ₹30 per liter.

The correct option is D ₹69R=10 cm,r=4 cm,h=14 cm Volume of the container=13πh(R2+r2+rR) =13×227××14×(100+16+40) cm3 =13×44×156 cm3 =2288 cm3 Therefore the quantity of milk in the container =22881000=2.29 litres Cost of the milk at ₹ 30 per litre =2.29×30=68.7=₹69

A container made up of a metal sheet is in the form of a frustum of a cone of height $14 c m$ with radii of its lower and upper ends as $4 c m$ and $10 c m$ respectively. Find the approximate cost of the milk which can completely fill the container at the rate of ₹30 per liter.