Question

circumference of base of cylinder is 176cm .find the diameter ?​

Answer 1

Question:-

Circumference of base of cylinder is 176cm .find the diameter ?

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Answer:-

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Given:

▪︎Circumference of base of cylinder = 176cm

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To Find:

▪︎Diameter of cylinder

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Solution:

According to given conditions;

Circumference of base of cylinder = 176cm

= Circumference of circle = 176cm

= $2\pi r$ = 176 cm

= $\pi r$ = 176 ÷ 2

= r = $88 ÷ \frac{22}{7}$

= r = $\cancel{88} ×\frac{7}{\cancel{22}}$

= r = 4 × 7

= r = 28 cm

Hence, radius of base = 28cm

Diameter = 2 × radius = 2 × 28 = 56cm

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Formula to be remembered:-

▪︎Circumference of circle = $2\pi r$

▪︎Diameter = 2 × radius

▪︎Volume of cylinder = $\pi r²h$

▪︎C.S.A. of cylinder = $2\pi rh$

▪︎T.S.A. of cylinder = $2\pi rh + 2\pi r²$

Answer 2

Step-by-step explanation:

Circumference of the circle : 2 pi r

= i.e 2×22/7x r

(r = radius of circle)

So, Diameter

= 2×22/7×r = 176 cm

= 22/7×r = 176/2

= 22/7 ×r = 88 cm

= r (Radius) = 88 ÷ 22/7

= r = 88×7/22

= r = 4×7

= r = 28 cm

So, the radius = 28 cm

Diameter = 2r

= (2×28)cm

= 56 cm