eight Search

Q:

If the base of a pyramid is a square of 6cm side and its slant height is 5cm. Find its slant surface area.

A) 50 sq.cm	B) 30 sq.cm
C) 60 sq.cm	D) 40 sq.cm

Answer & Explanation Answer: C) 60 sq.cm

Explanation:

Slant surface of a pyramid=1/2 perimeter of base slantheight

=1/2 x (4 x Side of squarebase) x Slantheight

Report Error

View Answer Report Error Discuss

Filed Under: Volume and Surface Area
Exam Prep: Bank Exams
Job Role: Bank PO

Q:

What is the ratio between the volumes of a cylinder and cone of the same height and of the same diameter

A) 2:1	B) 3:1
C) 4:1	D) 5:1

Answer & Explanation Answer: B) 3:1

Explanation:

Volume of cylinder / Volume of cone = 3/1

Report Error

View Answer Report Error Discuss

Filed Under: Volume and Surface Area
Exam Prep: Bank Exams
Job Role: Bank PO

Q:

The volume of a rectangular solid is to be increased by 50% without altering its base. To what extent the height of the solid must be changed.

A) 50%	B) 40%
C) 30%	D) 20%

Answer & Explanation Answer: A) 50%

Explanation:

Let l, b the sides of the base, so that the area of the base = lb
remains constant.
Let ‘h’ be the height of the solid.
Volume of the solid, V = l× b× h.
Since the volume is to be increased by 50%

Report Error

View Answer Report Error Discuss

Filed Under: Volume and Surface Area
Exam Prep: Bank Exams
Job Role: Bank PO

Q:

A cylindrical rod of iron, whose height is equal to its radius, is melted and cast into spherical balls whose radius is half the radius of the rod. Find the number of balls.

A) 3	B) 4
C) 5	D) 6

Answer & Explanation Answer: D) 6

Explanation:

Volume of rod = ${πr}^{2} h$ = ${πr}^{2} \times r$ = ${πr}^{3}$

Volume of one spherical ball =r/2

Volume of the spherical ball = $\frac{\frac{4}{3} {πr}^{3}}{8}$

Number of balls=Volumeof rod/volumeof one ball

Report Error

View Answer Report Error Discuss

Filed Under: Volume and Surface Area
Exam Prep: Bank Exams
Job Role: Bank PO

Q:

Two cylindrical buckets have their diameters in the ratio 3:1 and their heights are as 1: 3. Find the ratio of their volumes.

A) 2:1	B) 3:1
C) 4:1	D) 5:1

Answer & Explanation Answer: B) 3:1

Explanation:

$\frac{v 1}{v 2} = \frac{{(r_{1})}^{2} \times h 1}{{(r_{2})}^{2} \times h 2}$

d1 = $2 r_{1}$ and d2 = $2 r_{2}$ are diameters

Report Error

View Answer Report Error Discuss

Filed Under: Volume and Surface Area
Exam Prep: Bank Exams
Job Role: Bank PO

Q:

If the radius of base and height of a cone are increased by 10%, find the percentage of increase of its volume

A) 33.5%	B) 33.1%
C) 32.1%	D) 53.1%

Answer & Explanation Answer: B) 33.1%

Explanation:

v1= $\frac{1}{3} {πr}_{1}^{2} h_{1}$

v2= $\frac{1}{3} {πr}_{2}^{2} h_{2}$

% Increase in volume = (V2-V1) / (V2*100)

Report Error

View Answer Report Error Discuss

Filed Under: Volume and Surface Area
Exam Prep: Bank Exams
Job Role: Bank PO

Q:

Two cones have their heights in the ratio 1:3 and the radii of their bases in the ratio 3:1. Find the ratio of their volumes.

A) 3:1	B) 2:1
C) 4:1	D) 5:1

Answer & Explanation Answer: A) 3:1

Explanation:

$\frac{v 1}{v 2} = \frac{{r_{1}}^{2} H}{{r_{2}}^{2} H}$

Report Error

View Answer Report Error Discuss

Filed Under: Volume and Surface Area
Exam Prep: Bank Exams
Job Role: Bank PO

Q:

If $a^{2} = 12, t h e n a^{4} = ?$

A) 144	B) 72
C) 36	D) 24

Answer & Explanation Answer: A) 144

Explanation:

Given a x a = 12

asked to find a x a x a x a = (a x a) x (a x a)

a⁴ = a² x a²

= 12 x 12

= 144.

More :: Mathematical operations questions and answers.

Report Error

View Answer Report Error Discuss

Filed Under: Numbers
Exam Prep: Bank Exams , AIEEE , CAT , GATE
Job Role: Bank Clerk , Analyst , Bank PO , IT Trainer

Searching for "eight"

Quick Links