Question

find the height of a solid right circular cylinder whose total surface area is equals to 314 CM square and the diameter of the base is 8 cm use Pi equal to 3.14

Answer 1

Hlo friend.. Cutiepie Here..

Here is ur answer :

Total surface area of cylinder = 314 cm²

Diameter of cylinder = 8 cm

Radius r of cylinder = 8/2 = 4 cm

We have to find height of cylinder.

Let the height be h.

According to question,

$2\pi r(r + h) = 314$

$2 \times 3.14 \times 4 \times (4 + h) = 314$

$(4 + h) = \frac{314}{4 \times 3.14 \times 2}$

$(4 + h) = \frac{314 \times 100}{314 \times 4 \times 2}$

$(4 + h) = 12.5$

$h = 12.5 - 4$

$h = 8.5$

Therfore, height of cylinder is 8.5 cm

HOPE IT HELPS YOU..

:-)

Answer 2

HELLO DEAR,

GIVEN THAT :-


TOTAL SURFACE AREA OF A CYLINDER
=314CM²

AND DIAMETER=8CM

THEN THE RADIUS OF A CYLINDER=8/2 =4CM


NOW,
LET THE HEIGHT OF THE CYLINDER=H CM

TOTAL SURFACE AREA OF A CYLINDER

=> 2 π R ( R + H ) =314

NOW THE
$2\pi r(r + h) = 314 \\ = > (r + h) = \frac{314 }{3.14 \times 4 \times 2} \\ = > (r + h) = \frac{314 \times 100}{314 \times 2 \times 4} \\ = > (r + h) = \frac{100}{4 \times 2} \\ = > (r + h) = \frac{25}{2} \\ = > (4 + h) = 12.5 \\ = > h = 12.5 - 4 \\ = > h = 8.5 \\ i \: hope \: its \: help \: you \: \\ thanks$