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3 years ago

Find the volume of the figure.

Mathematics

2 answers:

posledela3 years ago

7 0

Answer:

The answer to your question is The volume in terms of π is 1944π m³

Step-by-step explanation:

Data

diameter = 18 m

height = 19 m

Process

1.- Calculate the volume of the cone

Formula

Volume = πr²h / 3

radius = 18/2

= 9 m

-Substitution

Volume = π(9)²(19)/3

-Simplification

Volume = π(81)(19)/3

-Result

Volume = 513 π m²

2.- Calculate the volume of a semi-sphere

- Formula

Volume = 4/6 πr³

- Substitution

Volume = 4/6 π (9)³

-Simplification

Volume = 4/6 π (729)

-Result

Volume = 486π

3.- Calculate the total volume

Volume = 513π + 486π

Volume = 999π m³

LenaWriter [7]3 years ago

3 0

Answer: volume of the figure is 999πm³

Step-by-step explanation:

The composite figure consists of a hemisphere and a cone.

The formula for determining the volume of a hemisphere is expressed as

Volume = 2/3πr³

Where

r represents the radius of the hemisphere

π is a constant whose value is 3.14

From the information given,

Diameter of hemisphere = radius of cone = 18 m

Radius = diameter/2 = 18/2 = 9m

Volume if hemisphere =

2/3 × π × 9³ = 486π m³

The formula for determining the volume of a cone is expressed as

Volume = 1/3πr²h

Height = 19m

Volume = 1/3 × π × 9² × 19 = 513πm³

Volume of the composite figure = volume of hemisphere + volume of cone. It becomes

486π + 513π = 999πm³

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