a solid oblique cone with a slant length of 17 units is placed inside an empty cylinder with a congruent…

a solid oblique cone with a slant length of 17 units is placed inside an empty cylinder with a congruent base of radius 8 units and a height of 15 units. what is the unfilled volume inside the cylinder? 320π cubic units 597π cubic units 640π cubic units 725π cubic units

a solid oblique cone with a slant length of 17 units is placed inside an empty cylinder with a congruent base of radius 8 units and a height of 15 units. what is the unfilled volume inside the cylinder? 320π cubic units 597π cubic units 640π cubic units 725π cubic units

Answer

Answer:

$640\pi$ cubic units

Explanation:

Step1: Calculate cylinder volume

$V_{cylinder}=\pi r^{2}h=\pi\times8^{2}\times15 = 960\pi$

Step2: Calculate cone volume

$V_{cone}=\frac{1}{3}\pi r^{2}h=\frac{1}{3}\pi\times8^{2}\times15 = 320\pi$

Step3: Calculate unfilled volume

$V = V_{cylinder}-V_{cone}=960\pi - 320\pi=640\pi$