Q1. The circumference of the base of a cylinder is 88 cm and its height is 15 cm. Find the volume of
the cylinder.
Q2. Find the (i) total surface area and (ii) volume of a right circular cylinder whose height is 15 cm
and the radius of the base is7 cm.
Q3. Find the length of the longest rod that can be placed in a room 12 m long, 9 m broad, and 8 m
high.
Q4. A cuboid has total surface area of 50 m2
and lateral surface area is 30 m2
. Find the area of its
base.
Q5. The dimensions of a metal block are 2.25 m by 1.5 m by 27 m. It is melted ad recast into cubes,
each of the side 45 cm. How many cubes are formed?
answer and i will mark you brainliest
Answers
Answer:
Step-by-step explanation:
Q1:
height of cylinder=15cm
circumference of circle=88cm
2πr=88
r=88*7/44
r=14cm
volume of cylinder=πr*r*h
=22/7*14*14*15
=22*2*14*15
=9240cmcube
Q2:
We have,
Height of cylinder = 15 cm
Radius of base = 7 cm
(i) Curved surface area = 2πrh
= 2 × 22/7 × 7 × 15
= 660 cm2
(ii) Total surface area = 2πr(h+r)
= 2 × 22/7 × 7 (15+7)
= 968 cm2
(iii) Volume of cylinder = πr2h
= 22/7 × 7 × 7 × 15
= 2310 cm3
Q3:
Given length l = 12 m
breadth b = 9 m and height h = 8 m
Longest rod that can be placed in a room is nothing but its diagonal.
Length of diagonal of a cuboid = √(l2 + b2 + h2)
Length of longest rod = √(122 + 92 + 82) m
= √(144 + 81 + 64) m
= √289 m
= 17 m
Thus the length of the longest rod is 17 m
Q4:
Total surface area of cuboid =2*(length *breadth+breadth *height + height *length)=50 square m....... (1)
Lateral surface area of cuboid =2(breadth *height + height *length) =30 square m.......... (2)
subtracting (2) from (1)
2(length *breadth) =14 square m
L * B=14÷2 square m
=7 square metre
Area of the base of cuboid =7 square metre
Q5:
Dimensions of the metal block ,
Length = l = 2.25 m = 225 cm
Breadth = b = 150 cm
Height = h = 27 cm
Each side of the cube = a = 45 cm
If block is melted and cast into
Cubes
Let number of cubes = n
n = volume of block / volume of a cube
= ( lbh ) /a³
= ( 225 × 150 ×27 )/ ( 45 )³
= 10
Number of cubes formed = n = 10
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Answer:
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Step-by-step explanation: