Question

in a figure a solid is made up of a cone and hemisphere the total height of the figure is 20 cm and slant height of the cone is 218cm if the centimetre measure of the radius of the base is a multiple of 7 cm find the volume of the solid figure

Answer 1

volume of the solid is 5514.67 cm³

Step-by-step explanation:

total height of the solid = 20 cm

slant height of the cone = 218 cm

radius of the base = 7 cm

radius of hemisphere = height of the hemisphere = 7 cm

then height (h) of the cone = 20 - 7  = 13 cm

then

volume of cone = $\pi rl$

= $\frac{22}{7} \times 7\times 218$

=4796 cm³

volume of the hemisphere = $\frac{2}{3}\pi  r^3$

= $\frac{2}{3}\times \frac{22}{7}\times 7\times7\times 7$

= 718.67 cm³

then

volume of solid= volume of cone + volume of hemisphere

volume of solid = 4796 + 718.67

volume of solid = 5514.67 cm³

hence,

volume of the solid is 5514.67 cm³

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Answer 2

I think it will be helpful.