Here, A = -8%, B = 4%
According to the formula,
Net effect on volume = [2A + B + A² + 2AB/100 + A²B/100²]%

Correct Option: A

Here, A = -8%, B = 4%
According to the formula,
Net effect on volume = [2A + B + A² + 2AB/100 + A²B/100²]%
= [2 x (-8) + 4 + (-8)² + 2 x (-8) x 4 /100 + (-8)² x 4 /100²]
= [-16 + 4 + 64 - 64/100 + 256/10⁴]%
=[-12 + 0 + 0.0256]%
= -11.9744% (decrease)

According to the formula
Percentage increase in volume
= (2k + k²/100)% = ( 2 x 25 + 25²/100)%

Correct Option: A

According to the formula
Percentage increase in volume
= (2k + k²/100)% = ( 2 x 25 + 25²/100)%
= (50 + 625/100)% = (50 + 6.25)%
= 56.25%

According to the formula,
Percentage change in volume is directly proportional to the height,

Correct Option: C

According to the formula,
Percentage change in volume is directly proportional to the height,
So percentage decrease in volume = 8%

Given that , 2πrh = 264
and πr²h = 924
∴ ( πr²h) / (2πrh) = 924 / 264 = 7/2
⇒ r/2 = 7/2
⇒ r = 7
∴ d = 2r = 14 m
Also, 2 x (22/7) x 7 x h = 264

Correct Option: A

Given that , 2πrh = 264
and πr²h = 924
∴ ( πr²h) / (2πrh) = 924 / 264 = 7/2
⇒ r/2 = 7/2
⇒ r = 7
∴ d = 2r = 14 m
Also, 2 x (22/7) x 7 x h = 264
⇒ h = 264 / 44 = 6
∴ d/h = 14/6 = 7/3 = 7 : 3

Let the height and radius and radius of solid cylinder be h and r cm respectively
Given that, radius (r) = 5 cm
and total surface area = 660 cm²
⇒ 2πrh + 2πr² = 660

Correct Option: D

Let the height and radius and radius of solid cylinder be h and r cm respectively
Given that, radius (r) = 5 cm
and total surface area = 660 cm²
⇒ 2πrh + 2πr² = 660
⇒ 2πr(h + r) = 660
⇒ (h + 5) = 330/5π = 330/5 x 7/22
⇒ h = 66 x (7/22) - 5 = 21 - 5
∴ Required height = 16 cm