Mathematics, 08.04.2020 20:15 kaliyaht01

What is the volume of the composite figure? (Round to the nearest hundredth. Use 3.14 for Pi.)

V cone = one-third pi r squared h. V sphere = four-thirds pi r cubed.

A half sphere and cone. Both have a radius of 4 centimeters. The cone has a height of 15 centimeters.

150.72 cubic centimeters
276.32 cubic centimeters
385.17 cubic centimeters
519.15 cubic centimeters

Answers: 1

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Answer from: seonna

The volume of composite figure is 385.17 cubic centimeters, if a half sphere and cone have a radius of 4 centimeters and height of 15 centimeters.

Step-by-step explanation:

The given is,

Composite figure is combination of a half sphere and cone

Both have a radius of 4 centimeters

The cone has a height of 15 centimeters

Step:1

Volume of composite figure = Volume of half sphere + Volume of cone

Step:2

Formula for volume of semi sphere,

$Volume of half sphere, V_{Half sphere} = \frac{2}{3} \pi r^{3}$

Where, r - Radius of Half sphere,

From given, r = 4 centimeters

$V_{Half sphere} = \frac{2}{3} \pi 4^{3}$

= (0.6667) (3.14) (64) (∵ $\pi$ = 3.14 )

$V_{Half sphere}$ = 133.9733 cubic centimeters

Formula for volume of cone,

$Volume of cone, V_{cone} = \frac{1}{3} \pi r^{2} h$

where, r - Radius of cone

h - Height of cone

From given,

r = 4 centimeters

h = 15 centimeters

Volume of cone,

$V_{cone} = \frac{1}{3} \pi 4^{2}(15)$

= (0.333333) (3.14)(16)(15) (∵ $\pi$ = 3.14 )

$V_{cone}$ = 251.1997 cubic centimeters

Step:3

Volume of composite figure = 133.9733 + 251.1997

Volume of composite figure = 385.17 cubic centimeters

Result:

The volume of composite figure is 385.17 cubic centimeters, if a half sphere and cone have a radius of 4 centimeters and height of 15 centimeters.

Answer from: Quest

a complex number is a number that can be expressed in the form a + bi, where a and b are real numbers, and i is a solution of the equation x2 = −1. because no real number satisfies this equation, i is called an imaginary number. has no real solution, since the square of a real number cannot be negative.

Answer from: Quest

mia khalifa

step-by-step explanation:

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