Question

The total surface area of a right circular cylinder is 165π m square .If the radius of its base is 5 cm . Find its height and volume.​

Answer 1

Answer:

height = 11.5 cm , volume = 902.75cm³

Step-by-step explanation:

T.S.A of right circular cylinder =

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

T.S.A =

$2\pi \: \times 5 h+ 2\pi \: 5 \times 5$

= 2 × 3.14 ×5h + 2×3.14×25

= 31.4h + 157

T.S.A =

$165\pi$

= 165 × 3.14

= 518.1cm²

31.4h + 157 = 518.1

31.4h = 518.1 - 157 = 361.1

h= 361.1/31.4

h= 11.5cm

Volume of cylinder =

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

Volume = 3.14 × 5×5×11.5

= 902.75cm³