Question

एक लंब वृत्तिय बेलन का वक्र पृष्ठीय क्षेत्र फल 176 से. मी. की घात 2 है, आधार की त्रिज्या 7 से. मी. है, तो बेलन का ऊंचाई ज्ञात किजिए​

Answer 1

Given:

एक लंब वृत्तिय बेलन का वक्र पृष्ठीय क्षेत्र फल 176 से. मी. की घात 2 है, आधार की त्रिज्या 7 से. मी. है

To find:

बेलन का ऊंचाई ज्ञात किजिए​

Solution:

The curved surface area of the cylindrical rolling pin = 176 cm²

The radius of the base, r = 7 cm

Let "h" cm represents the height of the cylindrical rolling pin.

We know,

$\boxed{\bold{Curved\:Surface\:Area = 2 \pi r h}}$

Therefore, we get

$2 \pi r h = 176$

$\implies 2 \times \frac{22}{7} \times 7 \times h = 176$

$\implies 2 \times 22 \times h = 176$

$\implies 44 \times h = 176$

$\implies \bold{h = 4\:cm}$

Thus, the height of the cylindrical rolling pin is → 4 cm.

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