the ratio of total surface area of solid hemisphere to the square of its radius is
The ratio of total surface area of a solid hemisphere to the square of its radius
Answer: The ratio of the total surface area of a solid hemisphere to the square of its radius can be calculated by considering the formulas for surface area of a solid hemisphere and the formula for the square of its radius.
The total surface area of a solid hemisphere can be calculated using the formula for the curved surface area of a hemisphere and the area of its base. The formula for the total surface area of a solid hemisphere is given by: 3\pi r^2, where r is the radius of the hemisphere.
To find the ratio of total surface area of a solid hemisphere to the square of its radius, we can express it as: \frac{3\pi r^2}{r^2}. Simplifying this, we get the ratio as 3π.
Therefore, the ratio of the total surface area of a solid hemisphere to the square of its radius is 3π.