Question

find the surface area and volume of the solid. round each measure to the nearest tenth, if necessary. 1.8 cm c o a) surface area = 12.95π or about 40.1 cm² volume = 7.775π or about 24.8 cm³ o b) surface area = 12.96π or about 40.7 cm² volume = 7.776π or about 24.4 cm³ o c) surface area = 42.7 cm² volume = 25 cm³ o d) surface area = 11.2π or about 35.1 cm² volume = 6.576π or about 20.65 cm³

Explanation:

Step1: Recall surface - area formula for a sphere

The surface - area formula of a sphere is $S = 4\pi r^{2}$, where $r$ is the radius of the sphere. Given $r = 1.8$ cm. Substitute $r$ into the formula: $S=4\pi(1.8)^{2}=4\pi\times3.24 = 12.96\pi$ cm². Using $\pi\approx3.14$, $S\approx12.96\times3.14 = 40.6944\approx40.7$ cm².

Step2: Recall volume formula for a sphere

The volume formula of a sphere is $V=\frac{4}{3}\pi r^{3}$. Substitute $r = 1.8$ cm into the formula: $V=\frac{4}{3}\pi(1.8)^{3}=\frac{4}{3}\pi\times5.832=7.776\pi$ cm³. Using $\pi\approx3.14$, $V\approx7.776\times3.14 = 24.41664\approx24.4$ cm³.

Answer:

B. Surface area = $12.96\pi$ or about $40.7$ cm², Volume = $7.776\pi$ or about $24.4$ cm³