Volume question?

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1 Answer
Jim G.
Feb 22, 2018

#"volume "=120" cm"^3#

Explanation:

#"given 2 similar figures then"#

#• " linear ratio "=a:b#

#• " area ratio "=a^2:b^2#

#• " volume ratio "=a^3:b^3#

#"here linear ratio "=40:16=40/16=5/2#

#rArr"volume ratio "=(5/2)^3=125/8#

#"construct an equation in ratio form"#

#"let x be the volume of smaller cone"#

#rArr125/8=1875/xlarr"large"/"small"#

#rArr125x=8xx1875larrcolor(blue)"cross multiplying"#

#rArrx=(8xx1875)/125=120#

#rArr"volume of smaller cone "=120" cm"^3#

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