find the volume of the given prism round to the nearest tenth
A triangular prism has a base of 10 yd, depth of 29 yd and hypotenuse of 10 yd.
concrete can be purchased by the cubic yard. how much will it cost to pour a slab 11 ft by 11ft by 3 inches for a patio if the concrete costs 63 dollars per cubic yard?
First, we need to convert the dimensions of the slab into cubic yards:
11 ft x 11 ft x 0.25 ft (3 inches is 0.25 feet) = 30.25 cubic feet
1 cubic yard = 27 cubic feet
30.25 cubic feet ÷ 27 cubic feet per yard = 1.12 cubic yards
Therefore, we need 1.12 cubic yards of concrete for the patio.
To find the total cost, we simply multiply the volume of concrete needed by the cost per cubic yard:
1.12 cubic yards x $63 per cubic yard = $70.56
It will cost $70.56 to pour the slab for the patio.
the volume of a cylinder is 980 pi in^3. the height of the cylinder is 20 in. what is the radius of the cylinder?
The formula for the volume of a cylinder is V = πr^2h, where V is the volume, r is the radius, and h is the height. We are given that the volume is 980π in^3 and the height is 20 in, so we can substitute these values into the formula:
980π = πr^2(20)
Simplifying this equation:
980 = 20πr^2
49 = r^2π
r^2 = 49/π
r ≈ 3.5 inches (rounded to one decimal place)
Therefore, the radius of the cylinder is approximately 3.5 inches.