Question

Find the missing dimension for a cylinder. Take t = =
Radius: Curved surface area = 220 cm?, Height = 10 cm.
Height: Curved surface area = 3168 cm², Radius = 21 cm
Height; Radius = 5 cm, Total surface area = 1201 cm?​

Answer 1

Answer:

1. curved surface area of cylinder= 220 220=2×22/7×r×10cm=3•5cm r=3•5cm curved surface area=3168 3168=2×22/7×r×10=24cm.

Answer 2

Answer with Step-by-step explanation:

1. Curved surface area of cylinder=220 square cm

Height=10 cm

We know that

Curved surface area of cylinder=$2\pi rh$

Where r= Radius of cylinder

h=Height of cylinder

$\pi=\frac{22}{7}$

Using the formula

Curved surface area =$2\times \frac{22}{7}\times r\times 10$

$220=\frac{22}{7}\times 20\times r$

$r=\frac{220\times 7}{22\times 20}=r$

$r=3.5 cm$

2.Curved surface area of cylinder=3168 square cm

Radius=21 cm

Using the formula

$3168=2\times \frac{22}{7}\times 21\times h$

$h=\frac{3168\times 7}{22\times 2\times 21}=24 cm$

Height of cylinder=h=24 cm

3.Total surface area of cylinder=$2\pi r(r+h)$

Radius=5 cm

Total surface area of cylinder=1201 square cm

Using the formula

$1201=2\times \frac{22}{7}\times 5(5+h)$

$5+h=\frac{1201\times 7}{22\times 5\times 2}=38.2$

$h=38.2-5=33.2 cm$

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