Question

Solve the following questions. (Any One) (1) In the figure, \text{A} PQR is an equilateral triangle, the point N is on ray QR such that QR - RN Prove that PN² - 3PR² (2) A Test tube has lower part as hemisphere and upper part is cylindrical with same radius. If 6 cm³ water is added to the test-tube, it will be just completely filled, but if, $2000 \frac{cm^3}{3}$ water is added, 5 cm height will remain empty. Calculate the radius of the test-tube and the height of the cylindrical part. ($r = ?$)

          Solve the following questions. (Any One)
(1) In the figure, \text{A} PQR is an equilateral triangle, the point N is on ray QR such that QR - RN
Prove that PN² - 3PR²
(2) A Test tube has lower part as hemisphere and upper part is cylindrical with same radius. If
6 cm³ water is added to the test-tube, it will be just completely filled, but if, $2000 \frac{cm^3}{3}$ water
is added, 5 cm height will remain empty. Calculate the radius of the test-tube and the height of
the cylindrical part. ($r = ?$)

Solve the following questions. (Any One)
(1) In the figure, A PQR is an equilateral triangle, the point N is on ray QR such that QR - RN
Prove that PN² - 3PR²
(2) A Test tube has lower part as hemisphere and upper part is cylindrical with same radius. If
6 cm³ water is added to the test-tube, it will be just completely filled, but if, 2000 (cm^3)/(3) water
is added, 5 cm height will remain empty. Calculate the radius of the test-tube and the height of
the cylindrical part. (r = ?)

Added by Ines C.

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