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Dmitry_Shevchenko [17]
3 years ago
13

A. 37B. 53C. 127D. 217​

Mathematics
1 answer:
liberstina [14]3 years ago
7 0
X = 127
Trust me, this was the one thing I was good at in school
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Find the volume of the cone. Use 3.14 for π. Round to the nearest tenth.
Leviafan [203]

Volume\,\,of\,\,cone=1527.1\,\,cm^3

So, Option C is correct.

Step-by-step explanation:

We need to find Volume of cone.

We are given:

π = 3.14

Length = 27 cm

Diameter = 15 cm

The formula used to find Volume of cone is:

Volume\,\,of\,\,cone=\frac{1}{3}\pi  r^2h

We are given diameter but we need radius in the formula

So, Radius = Diameter/2 = 15/2 = 7.5 cm

We need to find height of cone.

Using Pythagoras theorem:

h^2=p^2+b^2\\ (27)^2=p^2+(7.5)^2\\729=p^2+56.25\\p^2=729-56.25\\p^2=672.75\\Taking\,\,square\,\,root:\\p=25.93

So, Height of cone = p= 25.93

So, r= 7.5 and h= 25.93 and π = 3.14

Putting values in the formula:

Volume\,\,of\,\,cone=\frac{1}{3}3.14*(7.5)^2*25.93

Volume\,\,of\,\,cone=1526.62

Rounding off to the nearest tenth:

Volume\,\,of\,\,cone=1527.1\,\,cm^3

So, Option C is correct.

Keywords: Volume of cone.

Learn more about Volume of cone at:

  • brainly.com/question/12497249
  • brainly.com/question/6443737

#learnwithBrainly

6 0
3 years ago
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