Question

The radius of cylinderl is 10.5 cm, and its height is 21 cm. The radius and height of cylinder ll are 21 cm
and 10.5 cm, respectively. Which of the two cylinders will have a greater volume? Does the cylinder
with the greater volume have the greater surface area too?​

Answer 1

Answer:

Volume of Cylinder I > Volume of Cylinder II.

YES

Step-by-step explanation:

r = 10.5 cm

h = 21 cm

R = 21 cm

H = 10.5 cm

Volume of Cylinder I =

$\pi {r}^{2} h$

$\frac{22}{7} \times (10.5)^{2} \times 21$

= 7276.5 cm³

Volume of Cylinder II =

$\pi {r}^{2} h$

$\frac{22}{7} \times {21}^{2} \times 10.5$

= 14,553 cm³

Therefore,

Volume of Cylinder I > Volume of Cylinder II

Surface Area of Cylinder I > Surface area of Cylinder II

Answer 2

Step-by-step explanation:

Answer:

Volume of Cylinder I > Volume of Cylinder II.

YES

Step-by-step explanation:

r = 10.5 cm

h = 21 cm

R = 21 cm

H = 10.5 cm

Volume of Cylinder I =

\pi {r}^{2} hπr

2

h

\frac{22}{7} \times (10.5)^{2} \times 21

7

22

×(10.5)

2

×21

= 7276.5 cm³

Volume of Cylinder II =

\pi {r}^{2} hπr

2

h

\frac{22}{7} \times {21}^{2} \times 10.5

7

22

×21

2

×10.5

= 14,553 cm³

Therefore,

Volume of Cylinder I > Volume of Cylinder II

Surface Area of Cylinder I > Surface area of Cylinder II