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The circumference of the base of a solid right circular cylinder is 88 cm and its height is 153 cm. What is the volume (in cm³ ) of the cylinder? (Tak
Question

The circumference of the base of a solid right circular cylinder is 88 cm and its height is 153 cm. What is the volume (in cm³ ) of the cylinder? (Take π = 22/7)

A.

94,453

B.

95,071

C.

93,794

D.

94,248

Correct option is D

Given:
Circumference of the base = 88 cm
Height of the cylinder (h) = 153 cm

Formula Used:
Circumference = 2πr2\pi r​​
Volume of cylinder = πr2h \pi r^2 h​​

Solution:
First, calculate the radius (r) from the circumference:
2×227×r=882 × \frac{22}{7} × r = 88​​
447×r=88\frac{44}{7} × r = 88​​
r = 88×744\frac{88 × 7}{44}​ = 14 cm
Now, calculate the volume of the cylinder:
Volume = 227×14×14×153\frac{22}{7} × 14 × 14 × 153​​
Volume = 22 × 2 × 14 × 153
Volume = 44 × 14 × 153
Volume = 616 × 153 = 94248 cm³

Final Answer
So the correct answer is (d)

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