Question

The sum of the radius and the height of a cylinder is 12 cm and the total surface area of the cylinder is
377.14 cm. Find the height and the volume of the cylinder.​

Answer 1

Answer:

According to question,

Height +Radius=12

$r + h = 12cm$

Total surface area of cylinder =

$2\pi \: r(r + h) \\ = 2\pi \: r(12) \\ = 24\pi \: r$

but Total surface area of cylinder =377.14cm²(given)

therefore,

$24\pi \: r \: = 377.14 \\\pi \: r = 15.8 \\ r = 15.8 \times 7 \div 22 \\ 5.02cm$

Hence,

height = 12-radius

$h = 12 - 5.02 \\ h = 6.98cm$

Volume of cylinder =

$\pi \: r ^{2} h \\ =5.02 \times 5.02 \times 6.98 \times 22 \div 7 \\ = 552.84cm ^{3}$

hence,

Height = 6.98cm

Volume = 552.84cm³

Answer 2

Answer:

I HOPE IT HELPFUL ANSWER.