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A cylinder with a radius of 4cm and a height of 9cm has the same volume as a cone with a radius of 3cm. What is the height of the cone? A. 12 cm. B. 16 cm. C. 36cm. D. 48cm.

Respuesta :

smartiebouh

Answer:
16cm

Step-by-step explanation:
Volume of a cylinder/ cone = π × r² × h ( Pie × radius square × height)

The cylinder                              The cone
Radius = 4cm                              Radius = 3cm
Height = 9cm                              Height = X(unknown yet)                        
Volume = π × 4² × 9                    Volume = π × 3² × x
Answer a = 452.389cm³           Answer b= 28.274x          

To find the height of the cone;
= Answer a divided by answer b to find X (the height)
= 452.389 ÷ 28.274χ
χ= 16.00cm