A cone of height 12 cm and slant height 13 cm is surmounted on a hemisphere having radius equal to that of cone. The entire height of the solid is
Explanation
To find the total height of the solid, we need to find the height of the cone and add the radius of the hemisphere. The height of the cone can be found using the Pythagorean theorem: height^2 + radius^2 = slant height^2. So, height^2 + 6^2 = 13^2, height^2 = 169 - 36, height^2 = 133, height = sqrt(133). The total height of the solid is the height of the cone plus the radius of the hemisphere, which is sqrt(133) + 6.
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