Question

A tube has a diameter of 14 dm and a height of 10 dm. The volume of the cylinder is…
a) 154 dm³
b) 1.540 dm³
c) 616 dm³
d) 6.160 dm³
Please help me guyss...I'm so sad :(

Answer 1

Step-by-step explanation:

Cylinder A ahs a diameter of 14 cm

and height of 7 cm

i.e., d

A

=14 cm & h

A

=7 cm

now, radius r

A

=

2

d

A

=7 cm

And Cylinder B has a diameter of 7 cm and height of 14 sm

i.e, d

B

=7 cm & h

B

=14 cm

now, radius r

B

=

2

r

B

=3.5 cm

Now, We know that volume of Cylinder is given by, Volume V=πr

2

h

∴ V αr

2

& Vαh

∴ Vαr

2

h

here r

A

>r

B

⇒r

A

2

>>r

B

2

& h

A

<h

B

∴ r

A

2

h

A

>r

B

2

h

B

∴ (VolumeA)>(Volume)B

→ So, Cylinder A had more Volume

Now, (Volume)A=πr

A

2

h

A

=

7

(22)

×(7)

2

×(7)

(Volume)

A

=1078 cm

3

Now, (Volume)

B

=πrB

2

h

B

=(

7

22

)×(3.5)

2

×(14)

(Volume)

B

=539 cm

3

So, (Volume)

A

>(Volume)

B