The volume of a circumscribed cylinder is 1458π cm cubed. find the radius of a sphere.
1 answer:
The volume of the cylinder is V = πr<span>²h.
For a circumscribed cylinder, we know that in a circumscribed cylinder, the height of a cylinder is twice of its radius as shown in the figure. So,
V = </span>πr²(2r) = 2πr<span>³
</span>Finally,
1458π = 2πr³
r³ = 729
r = 9 cm
That is the answer. Hope this helps <span>✌️</span>☺️✌️
For a circumscribed cylinder, we know that in a circumscribed cylinder, the height of a cylinder is twice of its radius as shown in the figure. So,
V = </span>πr²(2r) = 2πr<span>³
</span>Finally,
1458π = 2πr³
r³ = 729
r = 9 cm
That is the answer. Hope this helps <span>✌️</span>☺️✌️
You might be interested in