Answered

At Westonci.ca, we connect you with experts who provide detailed answers to your most pressing questions. Start exploring now! Join our platform to connect with experts ready to provide precise answers to your questions in various areas. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

The volume of a sphere is two-thirds of a cylinder. What is the volume of a cylinder that has the same diameter as a sphere with a volume of 14 u^3, in u^3

Sagot :

MrRoyal

Answer:

[tex]V_2= \frac{28}{3} u^3[/tex]

Step-by-step explanation:

Given

Represent the volume of the cylinder with V1 and the volume of the sphere with V2

So, from the first statement: we have:

[tex]V_2 =\frac{2}{3}V_1[/tex]

and

[tex]V_1 = 14u^3[/tex]

To solve for [tex]V_2[/tex], we simply substitute [tex]14u^3[/tex] for [tex]V_1[/tex] in [tex]V_2 =\frac{2}{3}V_1[/tex]

[tex]V_2 =\frac{2}{3}V_1[/tex]

[tex]V_2= \frac{2}{3} * 14u^3[/tex]

[tex]V_2= \frac{2* 14}{3} u^3[/tex]

[tex]V_2= \frac{28}{3} u^3[/tex]

Hence, the volume of the sphere is [tex]\frac{28}{3} u^3[/tex]

Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.