Question

What is the volume of the figure

Answer 1

Answer:

2411.52 cm³

Step-by-step explanation:

V = (2/3)πr³        Use the equation for volume of a hemisphere

V = (2/3)(3.14)(8)³     Simplify the exponent

V = (2/3)(3.14)(512)   Multiply

V = 1071.79 cm³

V = πr² h/3                   Now find the volume of the cone

V = (3.14)(8)²(20/3)      Simplify the exponent

V = (3.14)(64)(20/3)      Multiply

V = 1339.73 cm³

Add both of the volumes together to get the volume of the figure.

1071.79 + 1339.73 = 2411.52 cm³

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