1.a swimming pool has a radius of 10 feet and a height of 4 feet. What is the volume?
2.What is the volume of a soup can with a radius of 4cm and a height of 16cm?
3.What is the volume of a triangular prism with a length of 10cm a width of 15cm and a height of 10cm?
4.What is the volume of a cylinder with a radius of 4.5in and a height of 6in?
5.what is the area of a circle with a circumference of 25 meters?
Problems 1, 2, 4. V = πr^2 * h
5. C = 2πr (calculate r from C then insert in following equation.
A = πr^2
ok what about #3
#3
By triangular prism , I understand it to be a triangular base.
You have given me only 2 sides of the base, unless the two sides are sides of a right-angled triangle, I cannot find the area of the base.
So I will assume it is right-angled.....
area of base = (1/2)(10)(15) = 75 cm^2
Then the volume = 75(10) or 750 cm^3
To find the volume of a shape, you will need to use specific formulas depending on the shape. Here are the steps to find the volume for each of the given shapes:
1. For a swimming pool, which is shaped like a cylinder, the formula to calculate the volume is V = πr²h, where V is the volume, π is a constant approximately equal to 3.14159, r is the radius, and h is the height. Plug in the values: radius (r) = 10 feet and height (h) = 4 feet. Calculate the volume using the formula: V = 3.14159 * (10 feet)² * 4 feet.
2. For a soup can, which is also a cylinder, you will use the same formula as in question 1. Plug in the values: radius (r) = 4 cm and height (h) = 16 cm. Calculate the volume using the formula: V = 3.14159 * (4 cm)² * 16 cm.
3. For a triangular prism, the formula to calculate the volume is V = ½ * b * h * H, where V is the volume, b is the base width, h is the base length, and H is the height of the prism. Plug in the values: base width (b) = 10 cm, base length (h) = 15 cm, and height (H) = 10 cm. Calculate the volume using the formula: V = ½ * 10 cm * 15 cm * 10 cm.
4. For a cylinder, you can use the same formula as in question 1. Plug in the values: radius (r) = 4.5 in and height (h) = 6 in. Calculate the volume using the formula: V = 3.14159 * (4.5 in)² * 6 in.
5. To find the area of a circle, you can use the formula A = (C²) / (4π), where A is the area, C is the circumference, and π is a constant approximately equal to 3.14159. Plug in the value: circumference (C) = 25 meters. Calculate the area using the formula: A = (25 meters)² / (4 * 3.14159).