Question

ratio of the total surface area of cylinder and the cuboid​

Answer 1

Answer:

Given that:Curved surface area : Total surface area =1:2

Curved surface area :616=1:2

Curved surface area=

2

616

=308

⇒

2πr(h+r)

2πrh

=

2

1

⇒

h+r

h

=

2

1

⇒2h=h+r

⇒h=r

Curved Surface area=2πrh=2πr

2

=308 since h=r

⇒2×

7

22

r

2

=308

⇒r

2

=

44

308×7

=49

⇒r=7cm

Since r=h

h=7cm

Volume of the cylinder=πr

2

h=

7

22

×7×7×7=1078cm

3

∴ Volume of the cylinder is 1078 cu cm.

Answer 2

Answer:

Total Surface Area = 2 (h × l + b × h + b × l) = 2(lb + bh + hl ) where h, l and b are the height, length and width of the cuboid respectively.

the total surface area of cylinder = 2πr(h + r)