Question

A sphere with a diameter of 16mm has the same surface area as the total surface area of a right cylinder with the base diameter equal to the sphere diameter. How high is the cylinder?
A. 16 mm
B. 8 mm
C. 18 mm
D. 14 mm

Answer 1

$R_{sphere}= \frac{1}{2} *16=8[mm]\\ A_{sphere}=4 \pi R^{2}\\ A_{cylinder}=2 \pi R(R+h)\\\\ 4\pi R^{2}=2 \pi R(r+h)\\ \frac{4\pi R^{2}}{2 \pi R} =r+h\\ h= \frac{4\pi R^{2}}{2 \pi R}-R=2R-R=R\\ R=8[mm]$

So the answer is B. 8 mm

Answer 2

Answer:

8 mm

Step-by-step explanation: