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iren2701 [21]
3 years ago
15

Enter the missing value into the box to complete the ratio comparing 500 meters to 3 kilometers.

Mathematics
2 answers:
bazaltina [42]3 years ago
7 0

Answer:  The required ratio is 1 : 6.

Step-by-step explanation:  We are given to find the ratio that compares 500 meters to 3 kilometers.

We know that

1 kilometer = 1000 meters.

So, 3 kilometers = 1000 × 3 meters = 3000 kilometers.

Therefore, the ratio comparing 500 meters to 3 kilometers will be

500~\textup{meters}:3~\textup{kilometers}\\\\=\dfrac{500~\textup{meters}}{3~\textup{kilometers}}\\\\\\=\dfrac{500~\textup{meters}}{3000~\textup{meters}}\\\\\\=\dfrac{1}{6}\\\\=1:6.

Thus, the required ratio is 1 : 6.

4vir4ik [10]3 years ago
4 0
3 kilometres = 3,000 metres

so the ratio is 500 : 3000
     
= 1 : 3000/500

= 1: 6
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Find the Total surface area of a cone if it's slant height is 21m and diameter of it's base is 24m.
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<h3><u>Answer :- </u></h3>

  • The total surfAce area of cone is <u>1244.57m².</u>

<h3><u>Step-by-step</u><u> </u><u>explanation</u><u> </u><u>:</u><u>-</u><u> </u></h3>

<u>To </u><u>find </u><u>:</u><u>-</u><u> </u>

  • The total surface area of cone..

<h3><u>Solution :- </u></h3>

Given that ,

  • The slant height of the cone = 21m.
  • Diameter of it's base = 24m.

<h3><u>♦</u><u> </u><u>Radius is </u></h3>

<u>=</u>> Diameter / 2

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=> 12m

<h3>As we know that , </h3>

<u>Total surface area of cone = πr ( r + L ) .</u>

<h3><u>Where</u><u> </u><u>we </u><u>know</u><u>,</u></h3>

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<h3>According to the question :- </h3>

The total surface of cone is,

<u>=> Total surface area = πr { r + L } ..</u>

=  \frac{22}{7}  \times 12 \times (12 + 21)

=  \frac{22}{7}  \times 12 \times 33

= (22 \times 12 \times 33) \div 7

= (726 \times 12) \div 7

= 8712 \div 7

= 1244.57 {m}^{2}

• Therefore , The total surface area of cone is <u>1244.57m².</u>

Hope this helps you :)

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