Respuesta :
Answer:
15 Square Inches
Step-by-step explanation:
Volume of the cone=40 cubic inches
Height of the cone=8 Inches
Step 1: Applying the formula for the volume of a cone
Volume of a Cone[tex]=\frac{1}{3}\pi r^2 h=\frac{1}{3} X $Base Area X Height[/tex]
Step 2: Substituting values for the variables
[tex]40=\frac{1}{3} X $Base Area X 8[/tex]
Step 3: Simplifying the right side
[tex]40=\frac{8}{3} X $Base Area[/tex]
Step 4: Multiplying by the reciprocal
[tex]40X\frac{3}{8}=\frac{8}{3} X\frac{3}{8} X $Base Area\\[/tex]
Therefore, Base Area of the Cone=15 Square Inches
