Given solid object is made up of a hemisphere snd a cyinder.the radius of a hemisphere is equal to the radius of a cylinder.The height of a cylinder is 80 cm and the height of the solid object is 94cm.find the total surface area of thst solid object
the area is a circular base, a curved side, and a hemisphere:
πr^2 + 2πrh + 2/3 πr^3
Now just plug in your numbers.
8888cm^2
To find the total surface area of the solid object, we need to calculate the surface area of the hemisphere and the surface area of the cylinder, and then add them together.
Let's start by finding the surface area of the hemisphere. The surface area of a hemisphere can be calculated using the formula:
SA_hemisphere = 2πr^2
Where:
- SA_hemisphere is the surface area of the hemisphere,
- π is a mathematical constant approximately equal to 3.14159,
- r is the radius of the hemisphere (given to be equal to the radius of the cylinder).
Next, let's calculate the surface area of the cylinder. The surface area of a cylinder can be calculated using the formula:
SA_cylinder = 2πrh + πr^2
Where:
- SA_cylinder is the surface area of the cylinder,
- r is the radius of the cylinder (given to be equal to the radius of the hemisphere),
- h is the height of the cylinder (given as 80 cm).
Now, let's plug in the given values into the formulas and calculate the surface areas:
SA_hemisphere = 2πr^2
SA_hemisphere = 2π(80)^2
SA_cylinder = 2πrh + πr^2
SA_cylinder = 2π(80)(80) + π(80)^2
Once you calculate both surface areas, you can add them together to find the total surface area of the solid object:
Total Surface Area = SA_hemisphere + SA_cylinder
By substituting the respective formulas, you can find the total surface area of the object.