F Ferocity Honorary Poster Joined Nov 8, 2016 Posts 123 Reaction 14 Points 172 Age 24 Feb 20, 2019 #1 Pa help ulit dito mga sir "Find the volume of the largest right circular cylinder that can be cut from a circular cone of radius 6cm and 9cm.,"
Pa help ulit dito mga sir "Find the volume of the largest right circular cylinder that can be cut from a circular cone of radius 6cm and 9cm.,"
M MoiGfx Honorary Poster Feb 20, 2019 #2 eto ang You do not have permission to view the full content of this post. Log in or register now.
A Arcturus 𝙻𝚊𝚣𝚢 𝙳𝚎𝚟 Contributor Feb 20, 2019 #3 maxima minima yan Express the height in terms of the radius. h = (3/2)(6 - r) V = πr²h V = πr²(3/2)(6 - r) V = 9πr² - (3/2)πr³ dV/dr = 18πr - (9/2)πr² Let dV/dr = 0 18πr - (9/2)πr² = 0 4r - r² = 0 r(4 - r) = 0 r = 4 ............... Reject r = 0. V = πr²(3/2)(6 - r) V = 48π cm³
maxima minima yan Express the height in terms of the radius. h = (3/2)(6 - r) V = πr²h V = πr²(3/2)(6 - r) V = 9πr² - (3/2)πr³ dV/dr = 18πr - (9/2)πr² Let dV/dr = 0 18πr - (9/2)πr² = 0 4r - r² = 0 r(4 - r) = 0 r = 4 ............... Reject r = 0. V = πr²(3/2)(6 - r) V = 48π cm³