a cylinder and a dimensions are shown one equation for calculating the volume of a cylinder is V = BH. where b represents the area of the base of the cylinder which expression can be used to find the value of b In square inches for this cylinder
the height of the cylinder is 10 cm and the radius of 7 cm
The base of a cylinder is a circle, so the formula for the area of the base of the cylinder is given by:
Area of the base = πr^2
where r is the radius of the cylinder.
Given that the radius is 7 cm, the formula for the area of the base becomes:
Area of the base = π(7)^2 = 49π cm^2
To convert the area of the base to square inches, we know that 1 cm^2 is equal to 0.155 square inches. Therefore, to find the area of the base in square inches, we can multiply the area in cm^2 by 0.155:
Area of the base in square inches = 49π cm^2 * 0.155 = 49π * 0.155 square inches ≈ 23.805 square inches
Therefore, the value of b in square inches for this cylinder is approximately 23.805 square inches.