Given:
Sphere and cylinder have same radius and height.
Volume of the cylinder = 48 cm³
To find:
The volume of the sphere.
Solution:
Radius and height of cylinder are equal.
⇒ r = h
Volume of cylinder:
Substitute the given values.
(since r = h)
Divide by 3.14 on both sides.
Taking cube root on both sides, we get
2.48 = r
The radius of the cylinder is 2.48 cm.
Sphere and cylinder have same radius and height.
Volume of sphere:
The volume of the sphere is 63.85 cm³.
Answer:
9, 30, and 15.
Step-by-step explanation:
Let the three numbers be a, b, and c.
The sum of them is 54. So:
The third number is 6 more than the first. In other words, c=a+6.
The second number is twice the third. In other words, b=2c.
Let’s write the second number in terms of a. Since b=2c, this means that b=2(a+6).
Let’s substitute them into our equation. So:
Solve for a. Distribute:
Combine like terms:
Subtract 18 from both sides:
Hence, the value of a is:
So, the first number is 9.
The third number is 6 more than the first, so the third number is 15.
The second number is twice the third. So, the second number is 30.
Therefore, our numbers are:
9, 30, and 15.