7) Rectangular pyramid:
Length = 8m ; width = 4.6m ; Volume = 88m³
Volume of a rectangular pyramid = (Length * Width * Height)/3
88m³ = (8m * 4.6m * height)/3
88m³ * 3 = 36.8m² * height
264m³ = 36.8m² * height
264m³ / 36.8m² = height
7.2 m = height
8) Cone:
r = 5 in ; volume = 487 in³
Volume of a cone = π r² h/3
487 in³ = 3.14 * (5in)² * h/3
487 in³ * 3 = 3.14 * 25in² * h
1,461 in³ = 78.5 in² * h
1,461 in³ / 78.5 in² = height
18.6 in = height
Question 2
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Formula
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Volume of the cylinder = πr²h
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Find Radius
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Radius = Diameter ÷ 2
Radius = 10 ÷ 2
Radius = 5 ft
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Find Volume
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Volume = πr²h
Volume = 3.14 x 5² x 21
Volume = 1648.5 ft³
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Answer: Volume = 1648.5 ft³
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Question 3
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Formula
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Volume of a sphere = 4/3πr³
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Find Volume
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Volume = 4/3 x 3.14 x 20³
Volume = 33493.3 ft³ (nearest tenth)
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Answer: Volume = 33493.3 ft³
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Answer:
5a - 30
Step-by-step explanation:
Answer:
<em>71.6 degrees </em>
Step-by-step explanation:
The formula for calculating the angle between two vectors is expressed as;
u.v = |u||v|cos theta
u.v = (8, 4).(9, -9)
u.v = 8(9)+4(-9)
u.v = 72-36
u.v = 36
|u| = √8²+4²
|u| = √64+16
|u| = √80
|v| = √9²+(-9)²
|v| = √81+81
|v| = √162
36 = √80*√162 cos theta
36 = √12960 cos theta
36 = 113.84 cos theta
cos theta = 36/113.84
cos theta = 36/113.84
cos theta = 0.3162
theta = arccos (0.3162)
<em>theta = 71.6 degrees </em>
<em>Hence the angle between the given vectors is 71.6 degrees </em>
