Answer:
h = 2.82 cm
Step-by-step explanation:
[tex]surface area = 2 \pi R^{2} + 2 \pi R h\\1000 = 2 \pi (16h^{2} ) + 2 \pi (4h^{2} )\\1000 = 32 \pi h^{2} + 8\pi h^{2} \\1000 = 40 \pi h^{2} \\25 = \pi h^{2} \\\\h = \sqrt{\frac{25}{\pi} } = 2.82 cm[/tex]
