Answers

2015-03-08T00:36:42+05:30

This Is a Certified Answer

×
Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
Radius and height are in the ratio 4:7
let radius, r = 4x
height, h = 7x

volume = πr²h
⇒ 1188 = π × (4x)² × 7x
⇒ 1188 = (22/7) ×16x² × 7x
⇒ 1188 = 22×16x² × x
⇒ 1188 = 352x³
⇒ x³ = 1188/352 = 27/8
⇒ x = ∛(27/8) = 3/2 = 1.5cm

radius = 4x = 4×1.5 = 6cm
height = 7x = 7×1.5 = 10.5 cm

TSA = 2πr(r+h)
        = 2×(22/7)×6(6+10.5)
        = 836.28 cm²
1 5 1
2015-03-08T09:56:12+05:30

This Is a Certified Answer

×
Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
radius and height are in the ratio 4:7
 radius( r) = 4k
height( h )= 7k
volume(v)= \pi  r^{2} h \\ =  \frac{22}{7} *(4k) ^{2} *7k \\   \\ 
\frac{22}{7}*112k ^{3}  \\  \\ 
volume=352 k^{3}  \\ 
volume=1188 cm ^{3}  \\  \\ 
352 k^{3} =1188 \\ 
k ^{3} =1188/352=3.375 \\ 
k=1.5 \\ 
 radus=4k=4*1.5=6


height = 7x = 7×1.5 = 10.5 cm

TSA = 2πrh+2πr²
        = 2*22/7*6*10.5+2*22/7*36
        = 836.28 cm²

1 4 1