Find the volume of this solid

Mathematics

1 answer:

Vlada [557]3 years ago

4 0

Answer:

2,111.15 cm³

Step-by-step explanation:

The solid is made up of 2 cones.

Volume of the solid = volume of cone of the two cones

✔️Volume of cone 1 = ⅓πr²h

r = ½ of 24 = 12 cm

h = √(13² - 12²) = 5 cm

Volume of cone 1 = ⅓×π×12²×5 = 753.98 cm³

✔️Volume of cone 2 = ⅓πr²h

r = ½ of 24 = 12 cm

h = √(15² - 12²) = 9 cm

Volume of cone 1 = ⅓×π×12²×9 = 1,357.17 cm³

✔️Volume of the solid = 753.98 + 1,357.17 = 2,111.15 cm³

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