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Nutka1998 [239]
3 years ago
9

What is the volume of the plastic rocket???

Mathematics
1 answer:
Snezhnost [94]3 years ago
7 0

Answer:

A) 151 in³ or 151 cubic inches

Step-by-step explanation:

Volume of rocket = Volume of Cylinder + Volume of Cone

Step 1

Find the volume of the cylinder

Volume of a cylinder = πr²h

r = Diameter/2

= 5/2 = 2.5 inches

h = 6 inches

Hence,

π × 2.5² × 6

= 117.81 cubic inches

Step 2

Find the volume of the cone

Volume of a cone =1/3 πr²h

h = 11 inches - 6 inches

= 5 inches

r = 2.5 inches

Hence,

1/3 × π × 2.5² × 5

= 32.72 cubic inches

Therefore:

Volume of rocket = Volume of Cylinder + Volume of Cone

= 117.81 cubic inches + 32.72 cubic inches

= 150.53 cubic inches

Approximately to the nearest inch = 151 in³ or 151 cubic inches

Option A is correct

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Answer:      

Part c) V=16,500\ m^3

Part d) V=93,312\pi\ mm^3  or V=292,999.68\ mm^3

Step-by-step explanation:

Part c) Find the volume of the inverted rectangular pyramid

The volume of the rectangular pyramid is equal to

V=\frac{1}{3}Bh

where

B is the area of the rectangular base

h is the height of pyramid

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h=55\ m

substitute

V=\frac{1}{3}(900)(55)

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The volume of cylinder (tea cup) is equal to

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substitute

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V=93,312\pi\ mm^3 -----> exact value

<em>Find the approximate value</em>

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