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gogolik [260]
3 years ago
11

Plz help it’s important

Mathematics
1 answer:
m_a_m_a [10]3 years ago
6 0

Answer:

  • hemisphere volume: 262 m³
  • cylinder volume: 942 m³
  • composite figure volume: 1204 m³

Step-by-step explanation:

A. The formula for the volume of a hemisphere is ...

  V = (2/3)πr³

For a radius of 5 m, the volume is ...

  V = (2/3)π(5 m)³ = 250π/3 m³ ≈ 261.799 m³

__

B. The formula for the volume of a cylinder is ...

  V = πr²h

For a radius of 5 m and a height of 12 m, the volume is ...

  V = π(5 m)²(12 m) = 300π m³ ≈ 942.478 m³

__

C. Then the total volume is ...

  V = hemisphere volume + cylinder volume

  V = 261.799 m³ +942.478 m³ = 1204.277 m³

__

Rounded to the nearest integer, the volumes are ...

  • hemisphere volume: 262 m³
  • cylinder volume: 942 m³
  • composite figure volume: 1204 m³

_____

As a rule, you only want to round the final answers. Here, the numbers are such that rounding the intermediate values still gives the correct final answer. That is not always the case.

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A teacher has 3 hours to grade all the papers submitted by the 35 students in her class. She gets through the first 5 papers in
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\bf \begin{array}{ccllll}
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8 0
3 years ago
Read 2 more answers
I need help with this, please. Any advice would be appreciated.
mote1985 [20]

Answer:

see explanation

Step-by-step explanation:

The sum to n terms of an arithmetic sequence is

S_{n} = \frac{n}{2} [ 2a₁ + (n - 1)d ]

where a₁ is the initial value and d the common difference

Given

S_{n} = \frac{n}{2} [ 10 + (n - 1)3 ]

Then by comparison

2a₁ = 10 ( divide both sides by 2 )

a₁ = 4 ← initial value

and d = 3 ← common difference

Thus

S_{8} = \frac{8}{2} [ 10 + (7 × 3) ]

   = 4(10 + 21)

   = 4 × 31

   = 124

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3 years ago
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