If each edge of a cube is increased by 50%, find t | Volume and Surface Area Questions & Answers

Q:

The circumference of a circular base of Cylinder is 44 cm and its hight is 15 cm. Then the volume of the cylinder is?

A) 2759 cub. cm	B) 2247 cub. cm
C) 2614 cub. cm	D) 2311 cub. cm

Answer & Explanation Answer: D) 2311 cub. cm

Explanation:

Given Circumference of a circular base of a cylinder = 44 cm

We know that Circumference of a circle = $2 πr = 44 \Rightarrow r = \frac{22}{π}$

Now given the height of a cylinder h = 15 cm

Volume of a cylinder $V = {πr}^{2} h = π {(\frac{22}{π})}^{2} 15 = \frac{22 x 22 x 15}{3.14} = 2311 {cm}^{3} .$

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8 742

Q:

What is the Formula for Volume?

Answer

The formula to find the volume is given by just multiplying Length, Breadth and Height of that object.

Thus, V = L x B X H

Volume Formulae :

1. Volume of Cube of side 's' = s x s x s = $s^{3}$ cubic units.

2. Volume of Cylinder = ${πR}^{2} h$ cubic units.

[Where R is Radius and h is height]

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10 836

Q:

If radius and height of a cylinder increase by 20% and15% respectively. then what is the % change in curved surface area?

A) 41%	B) 38%
C) 33%	D) 44%

Answer & Explanation Answer: B) 38%

Explanation:

% Change in Curved Surface Area is given by

$% Change in radius + % Change in height + \frac{% Change in radius \times % Change in height}{100}$

$\Rightarrow + 20 + 15 + \frac{20 \times 15}{100} = 38 %$

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14 1477

Q:

A town has a population of 4000 requires 140 liters of water per head. It has a tank measuring 18m x 12m x 8m. The water of this tank will suffice for ____ days?

A) 3	B) 4
C) 5	D) 2

Answer & Explanation Answer: A) 3

Explanation:

Water required = 4000 x 140 = 560000 lit = 560 cu.m (1 cu.m = 1000 lit)

Volume of tank = 18 x 12 x 8 = 1728 cu.m

Water of this tank will suffice for = 1728/560 = 3 days.

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24 1447

Q:

A Conical tent was erected by the army at a base camp with height 3 m and base diameter 10 m. If every person requires 3.92 cu.m air, then how many persons can be seated in that tent approximately?

A) 20	B) 19
C) 17	D) 22

Answer & Explanation Answer: A) 20

Explanation:

Given height of the conical tent = 3 m

Diameter = 10 => Radius = D/2 = 10/2 = 5 m

Now, as the tent is in the conical form

Volume of the conical tent = $π r^{2} \frac{h}{3}$

=> (22 x 5 x 5 x 3) / (7 x 3)

= 22 x 25/7

= 78.54 cu.m

Given each person requires 3.92 cu.m of air

=> Number of persons can be seated in the tent = 78.54/3.92 = 20.03 =~ 20

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Q:

Ratio between heights of two cylinder in the ratio 3:5. Their volumes are in the ratio 27:80. Find ratio between their radius ?

A) 1:3	B) 2:1
C) 3:4	D) 4:7

Answer & Explanation Answer: C) 3:4

Explanation:

bank

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12 1363

Q:

The circumferences of two circles are 264 meters and 352 meters. Find the difference between the areas of the larger and the smaller circles ?

A) 2413 sq.m	B) 1234 sq.m
C) 4312 sq.m	D) 2143 sq.m

Answer & Explanation Answer: C) 4312 sq.m

Explanation:

Let the radii of the smaller and the larger circles be 's' m and 'l' m respectively.

$2 πs$ = 264 and $2 πl$ = 352

s = $\frac{264}{2 π}$ and l = $\frac{352}{2 π}$

Difference between the areas = $π l^{2} - π s^{2}$

= $π (\frac{176^{2}}{π^{2}} - \frac{132^{2}}{π^{2}})$

= $\frac{1762}{π} - \frac{1322}{π}$

= (176 - 132)(176 + 132) / $π$

= (44 x 308) / (22/7) = 4312 sq.m

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Q:

If a solid sphere of radius 10 cms is moulded into 8 spherical solid balls of equal radius, then surface area of each ball (in sq.cm) is ?

A) 100 π	B) 101/π
C) 99 π/12	D) 54/13π

Answer & Explanation Answer: A) 100 π

Explanation:

4/3 π x 10 x 10 x 10 = 8 x 4/3 π x r x r x r
r = 5
4π x 5 x 5 = 100π

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A) 125%	B) 150%
C) 175%	D) 110%

If each edge of a cube is increased by 50%, find the percentage increase in Its surface area

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