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: It should be 11
Step-by-step explanation:
11 + 3 = 14 14 is three more than 11 and when you add 5 you get 19
The series converges, and its sum is 1/2.
If r > 1, the series is divergent. If r < 1, the series is convergent. In our sequence, r, the common ratio we multiply by to get the next term, is 7/9; therefore it is convergent.
To find the sum of a convergent series, we use the formula
a/(1-r), where a is the first term and r is the common ratio. We then have
1/9÷(1-7/9) = 1/9÷2/9 = 1/9×9/2 = 1/2
Her postcard is 5/8 inches over the height limit
Boston would be 8 inches away on a map from WQ, because the library is in between Boston and WQ, and the library is 4 inches away from Boston, so, logically, it would be about 4 inches away from WQ, too.
Thus, Boston is 8 inches away from WQ.