Question

A closed metallic cylinder has its base diameter 56cm and it is 2.25m high. Find the cost of the metal used to make it if it costs 80 rupees per square metre​

Answer 1

Answer:

Rs. 356.22

Step-by-step explanation:

$\bold{\underline{\underline{Solution\::}}}$

A closed metallic cylinder has its base diameter 56 cm and it is 2.25 m high.

Given :

• Diameter of cylinder = 56 cm
• Radius of cylinder = 28 cm
• Heigh of cylinder = 2.25 m

Now, convert cm into m. To do this we have to divide with 100.

So, radius of cylinder = 0.28 m

Total surface area of cylinder = 2πr(r + h)

Substitute the known values in above formula

$\implies\:2\:\times\:22/7\:\times\:0.28(0.28\:+\:2.25)$

$\implies\:44\:\times\:0.4(2.53)$

$\implies\:4.4528$ m²

Cost of making Rs. 80 per m² of cylinder = $4.4528\:\times\:80$

= Rs.$\bold{356.22}$

Answer 2

ANSWER:-

Given:

A closed metallic cylinder has its base diameter 56cm & it's 2.25m high.

To find:

Find the cost of the metal used to make it if costs Rs.80 per m².

Solution:

Given,

Diameter of base closed metallic cylinder= 56cm

⚫Radius, (r)= d/2 = 56/2

=) 28cm

We convert in Metre

=) 0.28m

⚫Height, (h)= 2.25m

---------------------------------------------------

Therefore,

We know that, total surface area of metallic cylinder is;

=) 2πr(r+h)

$= > 2 \times \frac{22}{7} \times 0.28(0.28 + 2.25) \\ \\ = > \frac{44}{7} \times 0.28 \times 2.53 \\ \\ = > 44 \times 0.04 \times 2.53 \\ \\ = > 4.4528 {m}^{2}$

Now,

Cost of making per m² of metal= Rs.80

So,

Total cost of making the whole metal:

=) Rs.(4.4528 × 80)

=) Rs.356.22

Hope it helps ☺️