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Daniel [21]
3 years ago
12

Plzz look into the question in the attachements

Mathematics
1 answer:
iren2701 [21]3 years ago
8 0

Given : Diameter of the right circular cone ==> 8 cm

It means : The Radius of the right circular cone is 4 cm (as Radius is half of the Diameter)

Given : Volume of the right circular cone ==> 48π cm³

We know that :

\bigstar \ \ \boxed{\textsf{Volume of a right circular cone is given by : $\pi r^2\dfrac{h}{3}$}}

where : r is the radius of the circular cross-section.

             h is the height of the right circular cone.

Substituting the respective values in the formula, we get :

\mathsf{\implies \pi \times (4)^2 \times \dfrac{h}{3} = 48\pi}

\mathsf{\implies 16 \times \dfrac{h}{3} = 48}

\mathsf{\implies \dfrac{h}{3} = 3}

\implies \boxed{\mathsf{h= 9 \ cm}}

<u>Answer</u> : Height of the given right circular cone is 9 cm

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