If the total surface area of a solid hemisphere is equal to its volume, find the radius
3.0cm
4.5cm
5.0cm
9.0cm
Correct answer is B
T.S.A of hemisphere = 3\(\pi r^2\)
vol of hemisphere = \(\frac{2}{3} \pi r^3\)
3\(\pi r^2\) = \(\frac{2}{3} \pi r^3\)
3 = \(\frac{2}{3}r\)
9 = 2r
r = \(\frac{9}{2}\)
r = 4.5cm
4.55 litres
7.50 litres
8.10 litres
9.55 litres
Correct answer is A
Vol of a cubiod = L x b x h
v = 13cm x 10cm x 70cm
= 9100cm
Since it is half-filled = \(\frac{9100}{2}\)cm
= 4550cm
4550cm \(\to\) 4.55 litres
10 cm
14 cm
16 cm
20 cm
Correct answer is A
Volume of a cylinder = \(\pi r^2h\)
40\(\pi cm^3\) = \(\pi. 4^2h\)
40\(cm^3\) = 16h
h = 2.5cm/sec
In 4 seconds, 2.5cm x 4
= 10cm
29\(^o\)
57\(^o\)
65\(^o\)
115\(^o\)
Correct answer is B
lac = \(\frac{\theta}{360}\) x 2\(\pi\)r
7.5 = \(\frac{\theta}{360}\) x 2 x \(\frac{22}{7}\) x 7.5
7.5 = \(\frac{330\theta}{2520}\)
\(\theta\) = \(\frac{7.5}{0.1309}\)
\(\theta\) = 57.29
\(\theta\) = 57 \(^o\)
Simplify; 3x - (p - x) - (r - p)
2x - r
2x + r
4x - r
2x - 2p - r
Correct answer is C
3x - (p - x) - ( r - p) = 3x - p + x - r + p = 4x - r