Answer:
24
Explanation:
the area of the whole cone would be
![A=\pi rl+\pi r^2](https://img.qammunity.org/2023/formulas/mathematics/college/14xun3m204v7oa5p6hvmv05ahaoq311fm6.png)
would be
![l=√(r^2+h^2)](https://img.qammunity.org/2023/formulas/mathematics/high-school/cbcynwq159fjr1kaozxy51r2hpdxgj1t96.png)
so if we substitute;
![\pi *1.75*(1.75+√(4^2+1.75^2))](https://img.qammunity.org/2023/formulas/mathematics/high-school/n5v8p62im6tpz6zw33j4n5ud4ks3v37fsg.png)
this gives us a total surface area of 33.6
BUT, we don't want the base of the cone, we lets subtract it by getting the area of a circle respective to the base radius.
![a=\pi r^2](https://img.qammunity.org/2023/formulas/mathematics/high-school/khsjssyb4hrs03q8qr6drxczkadq0yw4rz.png)
![a=\pi *1.75^2](https://img.qammunity.org/2023/formulas/mathematics/high-school/1sjvmmyjcmuxg6tgu7nsw8wkhgx8odvujn.png)
![a=9.6](https://img.qammunity.org/2023/formulas/mathematics/high-school/jy6q3frblz5ztaqrv8vgsongqtlcrrace8.png)
so the final area would be
![33.6-9.6=24](https://img.qammunity.org/2023/formulas/mathematics/high-school/ysu0fgaedbn0heu2z38we1tzjavd81fh8o.png)