The Solution.
By formula, the surface area of the given figure is
![S.A=4\pi r^2](https://img.qammunity.org/2023/formulas/mathematics/college/rnfjna2wif17iz5t7c4x925tbcc5virtrp.png)
![\begin{gathered} SA=\text{surface area}=\text{?} \\ r=7\text{ inches} \\ \pi=3.14 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/wirfss7zfham3am280ckqgm9vasbnkbigm.png)
![S\mathrm{}A=4*3.14*7^2=4*3.14*49=615.44\approx615.4inches^2](https://img.qammunity.org/2023/formulas/mathematics/college/kdac8sd0vuylw49ysd5il5hd1h8j0hr40n.png)
b. By formula, the volume of the given figure is
![V=(4\pi r^3)/(3)](https://img.qammunity.org/2023/formulas/mathematics/college/5j1cfwp7yj6j68lrjhhjnirqd3t33er11c.png)
Where,
![r=7\text{ inches,}\pi=3.14,V=volume=?](https://img.qammunity.org/2023/formulas/mathematics/college/piuyx5oq65owk5potpl6byn4072yni6410.png)
Substituting the values in the formula, we have
![V=(4*3.14*7^3)/(3)=(4*3.14*343)/(3)=(4308.08)/(3)](https://img.qammunity.org/2023/formulas/mathematics/college/8rpbqm2egqoj3euzrvdxckpipkblbvbwsu.png)
![V=1436.0267\approx1436.0inches^3](https://img.qammunity.org/2023/formulas/mathematics/college/r00dlox6k8jq3eamoge507j3szwkn10ac4.png)
Hence, the correct answers are:
a. Surface area = 615.4 square inches
b. Volume = 1436.0 cubic squ