Mathematics
12.03.2021 19:12
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The cone shown below has volume of 1,017.36 cubic centimeters and a height of 12

The cone shown below has volume of 1,017.36 cubic centimeters and a height of 12 centimeters. What is the radius of the cone
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kony345p
kony345p
4,6(27 marks)

The radius of cone = 9 cm

Step-by-step explanation:

Formula : Volume of a cone = \dfrac13 \pi r^2 h , where r= radius , h= height of the cone.

Given: Volume = 1,017.36 cubic centimeters

h = 12 centimeters

Substitute these values in formula , we get

1017.36=\dfrac13 \times3.14\times r^2(12)\ \ \ [\pi=-3.14]\\\\\Rightarrow\ r^2 =\dfrac{1017.36\times}{3.14\times12}\\\\\Rightarrow\ r^2 =\dfrac{1017.36\times3}{3.14\times12}\\\\\Rightarrow\ r^2 =81\\\\\Rightarrow\ r=9  \ \ \  \text{Taking square root on both sides}

Hence, the radius of cone = 9 cm

tryintopassenioryear
tryintopassenioryear
4,6(64 marks)

second one i think

Step-by-step explanation:

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