3.25 3 2/5 3 3/8 from least to greatest
1 answer:
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Answer:
41.67πunits³
Step-by-step explanation:
Since we are not asked what to find, we can as well look for the volume of the cone.
Find the diagram of the cone attached
Volume of the cone = 1/3πr²h
h is the height of the cone
r is the radius of the cone
Volume of the cone = 1/3π(5)²(5)
Volume of the cone= 1/3π(125)
Volume of the cone = 125π/3
Volume of the cone = 41.67πunits³
Answer: ∛(49) / 7
Explanation:
1) Given expression:
![\frac{ \sqrt[3]{7} }{ \sqrt[3]{49} }](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%5Csqrt%5B3%5D%7B7%7D%20%7D%7B%20%5Csqrt%5B3%5D%7B49%7D%20%7D%20)
2) Notice that 49 = 7².
3) With that in mind, rationalize by multiplying numerator and denominator by ∛7:
![\frac{ \sqrt[3]{7} }{ \sqrt[3]{49} } \frac{ \sqrt[3]{7} }{ \sqrt[3]{7} } = \frac{ \sqrt[]{7^2} }{ \sqrt[3]{7^3} } = \frac{ \sqrt[3]{49} }{7}](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%5Csqrt%5B3%5D%7B7%7D%20%7D%7B%20%5Csqrt%5B3%5D%7B49%7D%20%7D%20%20%5Cfrac%7B%20%5Csqrt%5B3%5D%7B7%7D%20%7D%7B%20%5Csqrt%5B3%5D%7B7%7D%20%7D%20%3D%20%5Cfrac%7B%20%5Csqrt%5B%5D%7B7%5E2%7D%20%7D%7B%20%5Csqrt%5B3%5D%7B7%5E3%7D%20%7D%20%3D%20%5Cfrac%7B%20%5Csqrt%5B3%5D%7B49%7D%20%7D%7B7%7D%20)
Explanation:
1) Given expression:
2) Notice that 49 = 7².
3) With that in mind, rationalize by multiplying numerator and denominator by ∛7: