(i) Radius of sphere = 7 cm
Volume of sphere =\(\frac{4}{3}\pi r^3\)
= \(\frac{4}{3}\) × \(\frac{22}{7}\) × 7 cm × 7 cm × 7 cm
\(= \frac{4312}{3}\) cm3
= 1437.33 cm3
Therefore, the volume of the sphere is 1437 cm3 .
(ii) Radius of sphere = 0.63 m
Volume of sphere =\(\frac{4}{3}\pi r^3\)
= \(\frac{4}{3}\) × \(\frac{22}{7}\) × 0.63 m × 0.63 m × 0.63 m
= 1.047816 m3
= 1.05 m3 (approx.)
Therefore, the volume of the sphere is 1.05 m3 (approximately).
List-I | List-II | ||
(A) | Volume of cone | (I) | \(\frac{1}{3}\pi h(r_1^2+r_2^2+r_1r_2)\) |
(B) | Volume of sphere | (II) | \(\frac{1}{3}\pi r^2h\) |
(C) | Volume of Frustum | (III) | \(\pi r^2h\) |
(D) | Volume of cylinder | (IV) | \(\frac{4}{3}\pi r^3\) |
In Fig. 9.26, A, B, C and D are four points on a circle. AC and BD intersect at a point E such that ∠ BEC = 130° and ∠ ECD = 20°. Find ∠ BAC.