Question

find the height of a cylinder with radius 5•6cm and curved surface area 176 cm square​

Answer 1

Answer:

CSA of a cylinder = 2πrh

176 = 2 × (22/7) × 5.6 × h

h = (176 × 7)/(2×22×5.6) = 5cm

Answer 2

Given :-

Radius of Cylinder = 5.6 cm

Curved surface area of Cylinder = 176 cm²

To Find :-

Height of a cylinder = ?

Formula used here :-

Curved Surface Area of cylinder = 2πrh

Solution Start:-

Curved Surface Area of cylinder = 2πrh

$= 176 {cm}^{2} = 2 \times \dfrac{22}{7} \times 5.6 \times h \\ \\ = 176 {cm}^{2} = 2 \times \frac{22}{\cancel {7}} \times \cancel {5.6} \times h \\ \\ = \: 176 {cm}^{2} = 2 \times 22 \times 0.8 \times h \\ \\ = 176 {cm}^{2} = 44 \times 0.8 \times h \\ \\ = 176 {cm}^{2} = 35.2 \times h \\ \\ = > \frac{176}{35.2} = \:h \\ \\ =\frac{\cancel {176}}{\cancel {35.2}} = h \\ \\ = 5 \: cm \: = height$

Hence, the height of Cylinder = 5cm

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