Answer:

26

Step-by-step explanation:

Cylinders are three times the volume of cones

So the volume of the cone is

78×1/3=26

Verified answer

[tex]\huge\color{pink}{\underline{\overline\color{hotpink}{\sf{ \: \: \: Answer: \: \: \: }}}}[/tex]

[tex]\small\color{pink}⊱─━━━━━━━━⊱༻●༺⊰━━━━━━━━─⊰[/tex]

[tex]\sf\Rightarrow[/tex][tex]\sf {Volume\:of\:a\:Cylinder=πr^2h=78\:cm^3}[/tex]

[tex]\sf\Rightarrow[/tex][tex]\sf {Volume\:of\:a\:Cone=\:}\frac {1}{3}{πr^2h}[/tex]

[tex]\sf\Rightarrow[/tex][tex]\sf {V=\:}\frac {1}{3}{×78\:cm^3}[/tex]

[tex]\sf\Rightarrow[/tex][tex]\sf {V=26\:cm^3}[/tex]

[tex]\sf {Therefore,\:the\:volume\:of\:the\:cone\:is\:26\:cm^3.}[/tex]

[tex]\small\color{pink}⊱─━━━━━━━━⊱༻●༺⊰━━━━━━━━─⊰[/tex]

[tex]\begin{gathered}\begin{gathered}\tiny\boxed{\begin{array} {} \purple{\bowtie} \:\:\:\:\:\:\: \purple{\bowtie}\\ ｡●\smile●｡\\\end{array}}\end{gathered}\end{gathered}[/tex]