Sphere Volume = <span> 4/3 • <span>π <span>• r³
r^3 = sphere volume / (4/3 * PI)
r^3 = 288*PI / (4/3 * PI)
</span></span></span><span>r^3 = 288 / (4/3)
</span>r^3 = 216
r = 6 inches
Sphere Surface Area = <span> 4 • <span>π <span>• r²
</span></span></span>
Sphere Surface Area = 4 * PI * 36
Sphere Surface Area =
<span>
<span>
<span>
452.389 square inches
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Rewrite the right side as √3/3 = 1/√3, and recall that tan(x) = 1/√3 when x = π/6. Then since tan is π-periodic, taking the inverse tan of both sides gives
where n is any integer. Solving for x, we get
and the solutions in the interval [0, 2π] are x = 5π/6 and x = 11π/6 (for n = 1 and n = 2).
Answer:
here it is
Step-by-step explanation:
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