Answer:
<u>65.4 cubic inches</u>
Step-by-step explanation:
Formula for the volume of a cone :
<u><em>Volume (cone) = 1/3πr²h</em></u>
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Given :
⇒ diameter = 5 in. → radius = <u>2.5 in.</u>
⇒ height = <u>10 in.</u>
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Solving :
⇒ Volume (cone) = 1/3 × π × (2.5)² × 10
⇒ Volume (cone) = 62.5π/3
⇒ Volume (cone) = <u>65.4 cubic inches</u>
Answer:

Step-by-step explanation:
separate with like terms

the first fraction can be left alone as it can't be simplified any further
the second fraction can be written as w⁹ ÷ w¹ , when the bases are the same and division is involved subtract the powers: 9 - 1 = 8, so it's simplified to w⁸
the third fraction can be written as m⁵ ÷ m⁹, subtract the powers: 5 - 9 = -4, so it's simplified to m⁻⁴

putting it together:

Answer:
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