Question

Can you please help me out with a question

Answer 1

right. the lateral area of a hemisfere is the curved area, wich is half the area of a complete sphere

area of a sphere:

4πr²

So, half the area is 1/2(4πr²)= 2πr²

Now, the total surface is the lateral area plus the area of the base. the base is a circle, so the area is equal to πr²

And the volume of a hemisfere is equal to half the volume of a sphere:

`((4)/(3)\pi r^3)\cdot(1)/(2)\text{ =}(2)/(3)\pi r^3`

So, the anwsers are:

`2\pi r^(2)\text{ = }2\pi(24ft)^(2)\text{ = 1152}\pi ft^2`
`\pi r^(2)\text{ = }\pi(24ft)^2\text{ = 576}\pi ft^2`
`(2)/(3)\pi r^3\text{ = }(2)/(3)\pi(24ft)^3\text{ = 9216}\pi ft^3`

The answers are in order