Question

The diameter of a Pepsi can is 14cm and height is 24cm
(i) find the radius of cylindrical Pepsi can
(ii)find the curved surface area of the can
(iii)find the volume of the can
(iv)find the total surface area of the can​

Answer 1

Solution

verified

Verified by Toppr

Given: Diameter of base of cylinder =14 cm.

∴ Radius (r)=

2

14

​

=7 cm.

and Height of cylinder is h=20 cm.

So, Surface area of cylinder =2πr(r+h)

=2×

7

22

​

×7(7+20)

=44×27

Surface area of cylinder =1188 sq.cm.

Volume of cylinder =πr

2

h

=

7

22

​

×7

2

×20

=22×7×20

Volume of cylinder=3080 cu.cm

Answer 2

Explanation -:

Given :

• Diameter of the pepsi can = 14 cm
• Height of the pepsi can = 24 cm

To Find :

• Radius of the cylindrical pepsi can
• Curved surface area of the pepsi can
• Volume of the pepsi can
• Total surface area of the pepsi can

Solution :

i)

$\large\rm \blue{ Radius = \frac{diameter}{2}}$

→ $\frac{14}{2}$ = 7cm

Radius = 7 cm

ii)

$\large\rm \purple{Curved \: surface \: area = 2πrh.}$

Where,

r = radius

h = height

$\small\rm \bf{2 \times \frac{22}{7} \times 7 \times 24}$

$⇢ \small\rm{2 \times 22 \times 24}$

$⇢ \small\rm{1056 \: {cm}^{2} }$

Curved surface area = 1056 cm²

iii)

$\large\rm \pink{Volume =π {r}^{2} h}$

where,

r = radius

h = height

$\small\rm \bf{ \frac{22}{7} \times {7}^{2} \times 24 }$

$⇢\small\rm{ 22 \times 7 \times 24 = 3696}$

Volume = 3696 cu.cm

iv)

$\large\rm \green{ Total \: surface \: area = 2πr(h + r)}$

where,

r = radius

h = height

$\small\rm{2 \times \frac{22}{7} \times 7(24 + 7)}$

$⇢\small\rm{44 \times 31 = 1364}$

Total surface area 1364 cm²