Question

The volume of a cylindrical vessel is 27720cu.cm and its base radius is 21cm.find the curved surface area of the cylindrical vessel

Answer 1

attachment have the solution

Answer 2

GIVEN:

• Volume of a cylindrical vessel = 27720 cm³
• Radius of its base = 21 cm

TO FIND:

• What is the C.S.A. of the vessel ?

SOLUTION:

Let the height of the cylindrical vessel be 'h' cm

To find the volume of the vessel, we use the formula:-

✰ Volume = πr²h ✰

On putting the values in the formula we get

Take π = 22/7

$\sf{\mapsto 27720 = \dfrac{22}{7} \times (21)^2 \times h }$

$\sf{\mapsto 27720 = 22 \times 63 \times h }$

$\sf{\mapsto 27720 = 1386 \times h}$

$\sf{\mapsto h = \cancel\dfrac{27720}{1386}}$

$\bf{\mapsto h = 20 \: cm }$

Now, we have to find the Curved surface area of the vessel

To find the volume of the vessel, we use the formula:-

✰ C.S.A. = 2πrh ✰

According to question:-

$\sf{\mapsto C.S.A. = 2 \times \dfrac{22}{7} \times 21 \times 20}$

$\sf{\mapsto C.S.A. = 2 \times \dfrac{22}{\cancel{7}} \times \cancel{21} \times 20}$

$\sf{\mapsto C.S.A. = 2 \times 22 \times 3 \times 20}$

$\bf{\mapsto C.S.A. = 2640 \: cm^2 }$

 ❝ Hence, the C.S.A. of cylindrical vessel is 2640 cm² ❞

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