Surface Areas and Volumes Test

Result

Surface Areas and Volumes Test - 7

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Weekly Quiz Competition

Question 1
1 / -0

The ratio of the radii of two spheres whose volumes are in the ratio 64 : 27 is

A
it is 10 : 7.

B
it is 16 : 9.

C
it is 8 : 3.

D
it is 4 : 3.

Solution

volume of sphere 1 : volume of sphere2

4/3πr1³ : 4/3πr2³

r1³ : r2³ =64 :27

r1 : r2 = 4 : 3
Question 2
1 / -0

Given that the surface area of a spherical shot put is 616cm². its diameter is

A
12 cm.

B
16 cm.

C
14 cm.

D
18 cm.

Solution

Given,

Surface area of sphere= 4πr²=616

4× 22/7 ×r² =616

r²= 49

r= 7 cm

so diameter = 2 ×7= 14 cm
Question 3
1 / -0

If a spherical balloon grows to twice its radius when inflated, then the ratio of the volume of the inflated balloon to the original balloon is

A
it is 8 : 1

B
it is 6 : 1

C
it is 4 : 1

D
it is 5 : 1

Solution

= volume of the inflated balloon : volume of the original balloon

= 4/3π(2r)³ : 4/3π(r)³

= 8 : 1
Question 4
1 / -0

If the total surface area of a hemisphere is 1848 cm², then the diameter is

A
22 cm.

B
26 cm.

C
28 cm.

D
24 cm.

Solution

Total surface area of hemisphere= 1848 cm²

2 π r² + π r² = 1848

3π r² =1848

r²= (1848 ×7)/22×3

r²= 196

r=14 cm

so, diameter is 28 cm
Question 5
1 / -0

The total surface area of a cone of radius 7 m and slant height 10 m is

A
561m².

B
598.4 m².

C
374 m².

D
280.5 m².

Solution

TSA of cone = πr(l+ r)

=22/7×7 ( 10+7)

=22 × 17

= 374 m²
Question 6
1 / -0

The volume of a cone is 1570 cm³. If it is 15 cm high then its base area is

A
415 cm².

B
413 cm².

C
514 cm².

D
314 cm².

Solution

Volume of cone = 1/3 × π × r² × h

1570 = 1/3× π × r² × 15

π r² = 314 cm2

Base area is 314 cm²
Question 7
1 / -0

If the slant height of a cone of base radius 7 cm is 25 cm, then its height is

A
24 cm.

B
36 cm.

C
32 cm

D
18 cm.

Solution

l² = r² + h²

h² = l² - r²

= 25² - 7²

= 625 - 49

= 576

h = √576

h= 24 cm

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Surface Areas and Volumes Test - 7

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Surface Areas and Volumes Test - 7

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SHARING IS CARING

Question 1

it is 10 : 7.

it is 16 : 9.

it is 8 : 3.

it is 4 : 3.

Solution

Question 2

12 cm.

16 cm.

14 cm.

18 cm.

Solution

Question 3

it is 8 : 1

it is 6 : 1

it is 4 : 1

it is 5 : 1

Solution

Question 4

22 cm.

26 cm.

28 cm.

24 cm.

Solution

Question 5

561m2.

598.4 m2.

374 m2.

280.5 m2.

Solution

Question 6

415 cm2.

413 cm2.

514 cm2.

314 cm2.

Solution

Question 7

24 cm.

36 cm.

32 cm

18 cm.

Solution

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561m².

598.4 m².

374 m².

280.5 m².

415 cm².

413 cm².

514 cm².

314 cm².