Victor is on a volcanic island. He needs to get back to his ship before the volcano explodes, but he would also like to get the
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As the word suggests, a quarter-sphere is a quarter of a sphere, and thus the volume of a quarter-sphere is a quarter of the volume of the sphere.
The volume of a sphere is computed as
So, the volume of a quarter-sphere is
JKL is similar to PQR
so they want PR
JKL is similar to PQR
So PR is similar to JL
And they also give us the sides KL and QR
JKL is similar to PQR
Both of those sides are similar, so we can form a proportion.
Plug in the numbers:
Cross multiply:
Isolate PR
Simplify it
So your final answer is
so they want PR
JKL is similar to PQR
So PR is similar to JL
And they also give us the sides KL and QR
JKL is similar to PQR
Both of those sides are similar, so we can form a proportion.
Plug in the numbers:
Cross multiply:
Isolate PR
Simplify it
So your final answer is
