Mathematics, 30.08.2019 02:30 guadalupemarlene2001
B. 8/27 d. 1/3 10. three spheres of radii , 2r, and 3r, respectively, are melted and formed into a new sphere. find the surface area of this new sphere. a. 136.8 r(squared) c. 124.5 r(squared) b. 143.7 r(squared) d. 113.4 r(squared) 11. three spheres of radii r, 2r, and 3r, respectively, are melted and formed into a new sphere. find the volume of this new sphere. a. 54 pi r(cubed) c. 48 pi r(cubed) b. 43 pi r (cubed) d. 32 pi r(cubed)
Answers: 2
![A_{f}=4\pi (\sqrt[3]{36} r)^{2}\\\\V_{f}=\frac{4}{3} \pi (36r^{3})](/tpl/images/0210/6862/3291d.png)
![V_{1}=\frac{4}{3} \pi (r^{3})\\\\V_{2}=\frac{4}{3} \pi (2r)^{3}\\\\V_{3}=\frac{4}{3} \pi (3r)^{3}\\\\V_{f}=\frac{4}{3} \pi (r^{3}+(2r)^{3}+(3r)^{3})\\\\V_{f}=\frac{4}{3} \pi (r^{3}+8r^{3}+27r^{3})\\\\V_{f}=\frac{4}{3} \pi (36r^{3})\\\\V_{f}=\frac{4}{3} \pi R^{3}\\\\R=\sqrt[3]{36} r](/tpl/images/0210/6862/de45f.png)
![A_{f}=4\pi R^{2}\\\\A_{f}=4\pi (\sqrt[3]{36} r)^{2}](/tpl/images/0210/6862/4a1e6.png)
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B. 8/27 d. 1/3 10. three spheres of radii , 2r, and 3r, respectively, are melted and formed into a n...
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