Question

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To make a cylindrical pillar of height 135 m, smaller cylindrical pieces of height 15 m and of same radius are used. To make bigger pillar complete, how many smaller pieces are required.


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Answer 1

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Step-by-step explanation:

A cylindrical piller has a diameter of 56cm and is of 35m high. There are 16 pillars around the building. Find the cost of painting the curved surface area of all the pillars at the rate of Rs.5.50 per 1m

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ANSWER

Given a cylindrical pillar diameter of 56cm and its height is35m.

Then radius of pillar =

2

56

cm=

100

28

m=0.28m

Then curved surface area of pillar =2πrh=2×

7

22

×0.28×35=61.60m

2

Then the curved surface area of 16 pillars =61.60×16=985.60m

2

Given the cost of painting the curved surface area of all pillar at the rate of Rs5.50 per 1sqm

Then the cost of paining of 16 pillars =985.60×5.50=5420.80 Rs

Answer 2

Given a cylindrical pillar diameter of 56cm and its height is 35cm.

$\sf \: Then\:radius \:of\: pillar= \frac {56}{2} cm = \frac {28}{100} = 0.28m$

$\sf \: The \: curved \: surface \: area \: of \: pillar = 2\pi{rh} = 2= \frac {22}{7} \times 0.28 \times 35 = 61.60 {m}^{2}$

$\sf \: Then \: the \: curved \: surface \: area \: of \: pillars = 61.60 \times 16 = 985.60{m}^{2} \:$

Given the cost of painting the curved surface area of all pillar at the rate of Rs 5.50 per 1sqm

The the cost of painting of 16 pillars = 985.60 × 5.50 = Rs 5420.80