Questions on Geometry of the Pem Mati tomb. Pem mati was a dancer in the kingdom of Nizam. Out of the famous Seven Tombs located near Golconda Fort, Hyderabad, Pem Mati tomb is one. She was also called as Premamati by a Nizam ruler. The Seven Tombs, also known as Qutubshahi Tombsis one of the historical heitage place one can visit in Hyderabad.

1. Tomb of ”Pem Mati” (Premamati)
Pradyumna M Dinni, T Sree Vamsi
November 2016
Figure 1: Premamati tomb
1 Description
Pem Mati tomb was built during the reign of Abdullah Qutub Shah. She was
the favorite dancer of the King. She died in 1662 A.D
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2. 2 Problem Statement
2.1 Calculate the following.
a) Radius of the dome.
b) Height of the cuboid
c) Total volume of the tomb
[i.e., The total volume of the tomb is volume of the cuboid + volume of the
hemispherical dome excluding the four small domes]
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3. d) Volume of the cuboid
e) Radius of one of the four small domes
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