Question

the sum of the radius and height of a cylinder is 37 cm and the total surface area of the cylinder is 1628 CM square find the height and the volume of the cylinder

Answer 1

the TSA of cylinder is 2πr(r+h)

2×22/7×r(37)

the r is 3.5

πr square h

22/7×3.5×3.5×33.5=

1289.5 is answer

pls mark as brainlist

Answer 2

$\Large{\textbf{\underline{\underline{According\:to\:the\:Question}}}}$

Assumption

r = Radius

h = Height

TSA of the cylinder = 1628 cm²

2πr (r + h) = 1628 cm²

2πr × 37 = 1628 cm²

$\tt{\rightarrow 2\times\dfrac{22}{7}\times r\times 37=1628cm^2}$

$\tt{\rightarrow r=\dfrac{1628\times 7}{2\times 22\times 37}}$

r = 7 cm

$\textbf{\underline{Substitute\;the\;values}}$

r + h = 37 cm

7 + h = 37 cm

h = 30 cm

$\textbf{\underline{Volume\;of\;Cylinder}}$

= πr²h

$\tt{\rightarrow\dfrac{22}{7}\times 7\times 7\times 30}$

= 4620 cm³

Therefore,

$\textbf{\underline{Height\;of\:Cylinder=30}}$

$\Large{\boxed{Volume\;of\:Cylinder=4620cm^3}}$