evanray71 evanray71
  • 14-02-2020
  • Mathematics
contestada

V = 1/3 bh for b the base of the cone

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  • 14-02-2020

Answer:

[tex]\huge\boxed{b=\dfrac{3V}{h}}[/tex]

Step-by-step explanation:

[tex]V=\dfrac{1}{3}bh\qquad\text{multiply both sides by 3}\\\\3V=3\!\!\!\!\diagup^1\cdot\dfrac{1}{3\!\!\!\!\diagup_1}bh\\\\3V=bh\qquad\text{divide both sides by}\ h\neq0\\\\\dfrac{3V}{h}=\dfrac{bh}{h}\\\\\dfrac{3V}{h}=b\to \boxed{b=\dfrac{3V}{h}}[/tex]

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