Question

the sum of the radius and height of a cylinder is 37 cm and the total surface area of the cylinder is 1628sq. cm. find the height of cylinder​

Answer 1

Answer:

Height of the cylinder = 30 cm

Step-by-step explanation:

Given: Total surface area of the cylinder = 1628 cm²

The Sum of radius and height = 37 cm

Let the height be x cm

Then, Radius = (37 - x) cm

Formula: TSA = 2πr(r + h)

1628 = 2π(37 - x)(37)

→ 2π(37 - x) 37 = 1628

→ 37 - x = (1628 × 7)/(2 × 22 × 37)

→ 37 - x = 7

→ x = 30

∴ Height = x = 30 cm

Answer 2

Answer:

Given :-

• Sum of radius and height = 37 cm
• TSA of Cylinder = 1628 sq. cm

To Find :-

Height

Solution :-

Let the height be x

And radius be 37 - x

TSA = 2πr(r + h)

$\sf \: 1628 = 2 \times \dfrac{22}{7} \times 37-x(37)$

$\sf \: 37 - x = \dfrac{1628\times 7}{2 \times 22 \times 37}$

$\sf \: 37 - x = 7$

$\sf \: x = 37 - 7$

$\frak \red{x = 30}$