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if the cine has a height of 10 cm and diameter of 5 cm, what is it volume?​

Sagot :

CONE

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» If the cone has a height of 10 cm and diameter of 5 cm, what is it volume?

» Find the volume of the given cone using the formula.

  • V = (πr²h) (when radius is given)
  • V = (π(d/2)²h) (when diameter is given)

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» Substitute the given to find the volume of the cone. Use the formula with diameter since it is the given.

  • V = ⅓(π(d/2)²h)
  • V = ⅓ (3.14) (5cm/2)² (10cm)
  • V = ⅓ (3.14) (2.5cm)² (10cm)
  • V = ⅓ (3.14) (6.25cm²) (10cm)
  • V = ⅓ (3.14) (62.5cm³)
  • V = ⅓ (196.25cm³)
  • V = (196.25cm³) / 3
  • V = 65.42cm³

ANSWER: Volume = 65.42cm³

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Answer:

196.35 cm³

Step-by-step explanation:

Given: h (height) = 10cm

           d (diameter) = 5cm

r (radius) = d/2

r = 5cm/2

 = 2.5 cm

Volume =  πr²h

=  π×(2.5cm)²×10cm

=  62.5cm³π

=  196.34954084936 cm³  or  196.35 cm³