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3241004551 [841]
2 years ago
11

Tina has an old fish tank in the shape of a circular cylinder. The tank is 2 feet in diameter and 6 feet high. How many cubic fe

et of water does it hold?
Mathematics
1 answer:
yanalaym [24]2 years ago
4 0

Answer:

The tank can hold 18.84 cubic feet

Step-by-step explanation:

Given

Shape: Cylinder

D = 2ft -- Diameter

H = 6ft -- Height

Required

Determine the volume

First, calculate the radius (r)

r = \frac{1}{2}D

r = \frac{1}{2}*2ft

r = 1ft

The volume (V) of the tank is:

V = \pi r^2h

Substitute values for r and h

V = 3.14 *1^2*6

V = 3.14 *1*6

V = 18.84

<em>Hence, the tank can hold 18.84 cubic feet</em>

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At : a.m. the angle of elevation of the sun for one city is . If the height of a monument is approximately , what is the length
kicyunya [14]

This question is incomplete, the complete question;

At 11:30 a.m. the angle of elevation of the sun for one city is 55.7°. If the height of a monument is approximately 555 ft, what is the length of the shadow it will cast at that time? Round to the nearest foot.

Answer:

the length of the shadow will be 379 ft

Step-by-step explanation:

Given the data in the question and as represented in the diagram below;

height of monument = 555 ft

angle of elevation = 55.7°

From the image below, this makes a right angled triangle

we know that the some of the interior angles of a triangle is 180

so

∠ABC + ∠BCA + ∠CAB = 180°

90° + 55.7° + ∠CAB  = 180°

∠CAB = 180° - 145.7°

∠CAB = 34.3°

Now, using sine rule;

BC / sinA = AB / sinC

so we substitute

BC / sin( 34.3°) = 555 / sin( 55.7° )

BC / 0.563526 = 555 / 0.826098

we cross multiply

BC × 0.826098 = 0.563526 × 555

BC × 0.826098 = 312.75693

BC = 312.75693 / 0.826098

BC = 378.595 ≈ 379 ft

Therefore, the length of the shadow will be 379 ft

5 0
2 years ago
Simplify 8^3 divided by 4^2. A.) 2 B.) 3 C.) 33
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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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