Q 3062001835.     A toy pyramid (not shown) is made from poly (methyl methacrylate), better known by its trade term Lucite. The toy pyramid has a regular hexagonal base of `15 cm^{2}` and a height of `4 cm`. There is a semispherical indentation of diameter `2 cm` at the base of the pyramid. If the weight of the pyramid is `21.129 g`, then find the density of Lucite. (Density equals mass divided by volume.)

A

`1.06 {g}/{cm}^{3}`

B

`0.365 {g}/{cm}^{3}`

C

`2.09 {g}/{cm}^{3}`

D

`6.51 {g}/{cm}^{3}`

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