Question

Find the total curved surface area of cylinder whose height is 20 cm and radius 7 cm.

Answer 1

Answer:

TSA of cylinder is 1188 cm².

Step-by-step explanation:

Given :-

• Height(h) of the cylinder is 20 cm.
• Radius (r) of the cylinder is 7 cm.

To find :-

• Total surface area (TSA) of the cylinder.

Solution :-

• Height (h) = 20 cm
• Radius (r) = 7 cm

Formula used :

${\boxed{\sf{TSA\:of\: cylinder=2\pi\:r(h+r)}}}$

Total surface area of cylinder,

= 2πr(h+r)

=[ 2× (22/7) × 7 (20+7) ] cm²

= [2×(22/7)×7×27] cm²

= (2×22×27) cm²

= 1188 cm²

Therefore, the total surface area of the cylinder is 1188 cm².

_________________

Some formulas :-

• Volume of cylinder = πr²h
• T.S.A of cylinder = 2πrh + 2πr²
• Volume of cone = ⅓ πr²h
• C.S.A of cone = πrl
• T.S.A of cone = πrl + πr²
• Volume of cuboid = l × b × h
• C.S.A of cuboid = 2(l + b)h
• T.S.A of cuboid = 2(lb + bh + lh)
• C.S.A of cube = 4a²
• T.S.A of cube = 6a²
• Volume of cube = a³
• Volume of sphere = 4/3πr³
• Surface area of sphere = 4πr²
• Volume of hemisphere = ⅔ πr³
• C.S.A of hemisphere = 2πr²
• T.S.A of hemisphere = 3πr²

Answer 2

The answer is:

The Total Surface Area of the cylinder is 1188 cm²

Here is the Explanation:

• The height of a cylinder is 20 cm (given)
• The radius of the cylinder is 7 cm (given)

TO FIND:

• The total curved surface are of a cylinder

The TSA, of a cylinder

= 2πrh(r+h) unit²

∵ Here, r is the radius of the cylinder and h is the height of the cylinder

= 2 × 22/7 × 7 (7+20)

∵ Putting the vale of radius and the height of the cylinder.

= 2 × 22(27)

∵ 7 is cancelled and addition is done(7+20 = 27)

= 44 × 27

= 1188cm²

∵ The unit will be cm as the height and the radius of the cylinder are in the unit = cm.

• Some more Information about a cylinder,

Curved Surface Area (CSA) of the cylinder is = 2πrh unit²

Volume of a cylinder = πr²h unit³

Also,

Always check the units,

If the units are different, then first try to convert them in same units.

Here are some,

100 cm = 1 m

10cm = 1 dm

1000m = 1 km

10 hec = 1 km

10mm = 1 cm