Question

the radius and heightof cylindrical aer in ratio 4:7 if area of cylinder is 1188 find height and radius

Answer 1

radius and height are in the ratio 4:7
let radius, r = 4x
height, h = 7x

volume = πr²h
⇒ 1188 = π × (4x)² × 7x
⇒ 1188 = (22/7) ×16x² × 7x
⇒ 1188 = 22×16x² × x
⇒ 1188 = 352x³
⇒ x³ = 1188/352 = 27/8
⇒ x = ∛(27/8) = 3/2 = 1.5cm

radius = 4x = 4×1.5 = 6cm
height = 7x = 7×1.5 = 10.5 cm

TSA = 2πr(r+h)
= 2×(22/7)×6(6+10.5)
= 836.28 cm²
Hope this helps u and good luck

Answer 2

Let radius be 4x and 7x
4x*7x=1188
28x²=1188
X²=1188\28
X²=42.4
X=6
4*6=20
7*6=42

I hope answer is correct