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galben [10]
3 years ago
7

Find the volume of each figure

Mathematics
2 answers:
konstantin123 [22]3 years ago
6 0

Answer:

<u>1) 17.5×14×64</u>

  • → 1568 in³

<u>2) volume= 0.5×3.6×10×5=</u>

  • → 90

<u>3) d= 13, r=13/2= 6.5, h= 19</u>

  • → v= πr²h
  • → π(6.5)²×19
  • → 2521.91 mm³

<u>4) Base Area= a+b/2×h</u>

  • → (37+15)/2×25.7 cm²
  • →26×25.7 cm²
  • → 668.2 cm²
  • height= 20cm
  • voulme = 668.2×20
  • → 13364 cm²

<u>5) L×W×H</u>

  • → 25×7×18
  • → 175×18
  • → 3150 ft³

<u>6) v=πr²h</u>

  • → π(3.2²)(8)
  • → 81.92π
  • → 257.36 km²

------------

hope it helps...

have a great day!!

mart [117]3 years ago
3 0

\huge \boxed{1}

→17.5 × 14 × 6.4

→1568 in³

\huge \boxed{2}

→0.5 × 3.6 × 10 × 5

→90 m³

\huge \boxed{3}

→ Diameter = 13 mm

→ Radius = 13/2 = 6.5

→ Height = 19 mm

→Volume => πr²h

=> 22/7 × (6.5)² × 19

=> 2521.91 mm³

\huge \boxed{4}

→ Base Area → a+b/2×h

→ (37+15)/2×25.7 cm²

→26×25.7 cm²

→ 668.2 cm²

(height= 20cm)

→volume => 668.2×20

→13364 cm²

\huge \boxed{5}

→Area→ L × B × H

→ 25×7×18

→ 175×18

→ 3150 ft³

\huge \boxed{6}

→Volume → πr²h

→ π(3.2²)(8)

→ 81.92π

→ 257.36 km²

\boxed{Extra-Information}

  • Always divide the diameter with 2 to get the radius.

  • Volume is expressed in cube³ unit.

\bold \green{TheExtraterrestrial}

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Rainbow [258]

Answer:

\large\boxed{a.\ -30}

Step-by-step explanation:

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3 years ago
A circle has center at –6 + 2i and a point on the circle at 4 + 26i. Which of the following points is also on the circle?
Alenkasestr [34]
Answer:
–16 – 22i
Step-by-step explanation:
The radius of the circle = 4 + 26i - (-6 + 2i)
= 10 + 24i.
The radius will be the absolute values of this |10 + 24i|.

If a point is on the circle then it's distance from the centre must be 10+ 24i.
-19 + 15i - (-6 + 2i) = -13 - 13i , so this is not on the circle.
-16 - 22i - (-6 + 2i) = -10 - 24i = |10 + 24i| , so this is on the circle.
5 + 16i - (-6 + 2i) = 11 + 14i , so this is not on the circle.
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How many miles can you drive on one gallon of gasoline
ANEK [815]
It all depends on the car . what are the answers ?

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3 years ago
A sandwich store charges a delivery fee to bring lunch to an office building. One office pays $33 for 4 turkey sandwiches. Anoth
shutvik [7]

Answer:

$12

Step-by-step explanation:

assuming that the cost of delivery is constant irrespective of the number ordered

Let the cost of sandwich be x

First office

$33=4x+c where c is the cost of delivery

Second office

$61=8x+c

These two are simultaneous equation. Subtracting the equation of first office from the second office we obtain

4x=28

Therefore, x=28/4=7

The cost of delivery is 33-(4*7)=33-28=5

Therefore, one sandwich plus delivery costs 7+5=$12

5 0
3 years ago
The Slow Ball Challenge or The Fast Ball Challenge.
cupoosta [38]

Answer:

Fast ball challenge

Step-by-step explanation:

Given

Slow Ball Challenge

Pitches = 7

P(Hit) = 80\%

Win = \$60

Lost = \$10

Fast Ball Challenge

Pitches = 3

P(Hit) = 70\%

Win = \$60

Lost = \$10

Required

Which should he choose?

To do this, we simply calculate the expected earnings of both.

Considering the slow ball challenge

First, we calculate the binomial probability that he hits all 7 pitches

P(x) =^nC_x * p^x * (1 - p)^{n - x}

Where

n = 7 --- pitches

x = 7 --- all hits

p = 80\% = 0.80 --- probability of hit

So, we have:

P(x) =^nC_x * p^x * (1 - p)^{n - x}

P(7) =^7C_7 * 0.80^7 * (1 - 0.80)^{7 - 7}

P(7) =1 * 0.80^7 * (1 - 0.80)^0

P(7) =1 * 0.80^7 * 0.20^0

Using a calculator:

P(7) =0.2097152 --- This is the probability that he wins

i.e.

P(Win) =0.2097152

The probability that he lose is:

P(Lose) = 1 - P(Win) ---- Complement rule

P(Lose) = 1 -0.2097152

P(Lose) = 0.7902848

The expected value is then calculated as:

Expected = P(Win) * Win + P(Lose) * Lose

Expected = 0.2097152 * \$60 + 0.7902848 * \$10

Using a calculator, we have:

Expected = \$20.48576

Considering the fast ball challenge

First, we calculate the binomial probability that he hits all 3 pitches

P(x) =^nC_x * p^x * (1 - p)^{n - x}

Where

n = 3 --- pitches

x = 3 --- all hits

p = 70\% = 0.70 --- probability of hit

So, we have:

P(3) =^3C_3 * 0.70^3 * (1 - 0.70)^{3 - 3}

P(3) =1 * 0.70^3 * (1 - 0.70)^0

P(3) =1 * 0.70^3 * 0.30^0

Using a calculator:

P(3) =0.343 --- This is the probability that he wins

i.e.

P(Win) =0.343

The probability that he lose is:

P(Lose) = 1 - P(Win) ---- Complement rule

P(Lose) = 1 - 0.343

P(Lose) = 0.657

The expected value is then calculated as:

Expected = P(Win) * Win + P(Lose) * Lose

Expected = 0.343 * \$60 + 0.657 * \$10

Using a calculator, we have:

Expected = \$27.15

So, we have:

Expected = \$20.48576 -- Slow ball

Expected = \$27.15 --- Fast ball

<em>The expected earnings of the fast ball challenge is greater than that of the slow ball. Hence, he should choose the fast ball challenge.</em>

5 0
3 years ago
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