Radius of the hemispherical bowl, r = \(\frac{10.5}{2}\) cm = 5.25 cm
Volume of the hemispherical bowl =\(\frac{ 2}{3}\pi\) r3
= \(\frac{2}{3}\) × \(\frac{22}{7}\) × 5.25 cm × 5.25 cm × 5.25 cm
= 303.1875 cm3
\(= \frac{303.1875 }{1000}\) (1000cm3 = 1L)
= 0.3031875 liters
= 0.303 liters
Therefore, the volume of the hemispherical bowl is 0.303 liter.
(i) The kind of person the doctor is (money, possessions)
(ii) The kind of person he wants to be (appearance, ambition)
ABCD is a quadrilateral in which AD = BC and ∠ DAB = ∠ CBA (see Fig. 7.17). Prove that
(i) ∆ ABD ≅ ∆ BAC
(ii) BD = AC
(iii) ∠ ABD = ∠ BAC.
