If a rectangular block that is 4 inches by 4 inches by 10 inches is placed inside a right circular cylinder of radius 3 inches and height of 10 inches, the volume of the unoccupied portion of the cylinder is how many cubic inches?
A. \(6\pi-16\)
B. \(9\pi-16\)
C. \(160\pi-30\pi\)
D. \(60\pi-160\)
DUIBAসাধারণ গণিতপরিমিতি ও ঘনবস্তুঘনবস্তুর আয়তন, ক্ষেত্রফল (পিরামিড, প্রিজম) (Topic Practice)DU - ⚡ অনলাইন প্রশ্নব্যাংক দেখুন 💥
Explanation: Rectangular block এর volume \((4 \times 4 \times 10)\) cubic inch \(= 160\) cubic inches. Cylinder এর volume \(= \pi r^{2}h = \pi (3)^{2} 10 = 90\pi\). Unoccupied volume \(= 90\pi - 160\).
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