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volume= 170 cm^2

Step-by-step explanation:

The volume of a cylinder is V=π(r)^2(h),V=pie(radius squared) height. The radius is 1/2 the size of the diameter. The diameter is 6 cm, so the radius is 3 cm. we know the height of the cylinder is 12 cm. Plug in the variables. V=π(3)^2(12). if we solve this equation using PEMDAS, we get 339.12 cm^2, this is the volume for the total cylinder. However, Keenan drank half of the cylinder. So, 339.12/2=169.56 cm^2, or 170 cm^2 if rounded to the nearest number.

d. 8

step-by-step explanation:

the given radical expression is:

we can rewrite this as:

we express as square numbers to get;

the exponents will now cancel out to give.

the correct answer is d