Answer:
858 cm², 2645
Step-by-step explanation:
Given, base radius = 7 cm.
Given, height of the toy = 31 cm.
Height of conical part = height of the toy - base radius
= 31 - 7
= 24 cm.
Slant height:
l = √h² + r²
= √24² + 7²
= √625
= 25 cm
Surface area of cone:
πrl
= (22/7) * (7) * (25)
= 550 cm².
Surface area of hemispherical part:
= 2πr²
= 2 * (22/7) * (7)²
= 308 cm²
Total surface area of the toy:
= Surface area of cone + Surface area of hemispherical part
= 550 + 308
= 858 cm²
Given, Total number of 50 such toys.
So, total surface area of 50 toys = 50 * 858
= 42900 cm².
Cost of material per 100 cm² = 5.
So, cost of material per cm² = (1/20)
Then, cost of material per 858 cm² = 858 * 50 * 1/20
= 2145.
Given that cost of manufacturing per toy = 10.
Then, cost of making 50 toys = 50 * 100
= 500
Hence,total cost of 50 toys = 2145 + 500
= 2645.
Therefore:
⇒ Total surface area of the toy = 858 cm².
⇒ Total cost of 50 such toys = 2645.
Hope it helps!
Copyright © 2024 EHUB.TIPS team's - All rights reserved.
Answers & Comments
ht of cone =31-7=24cm
Tsa=(pi)rl+2(pi)r^2=(pi)r[l+2r]
= 22/7×7(25+2(7))
=22×39=858cm^2
Rate=rs5/100cm^2
Sa=858cm^2, Cost=858/100×5=RS.42.9
For 50 toys Cost=42.9×50=Rs.2145
Manufacturing cost =Rs.10
For 50 toys , Cost=50×10=Rs.500
Total Cost =2145+500=Rs.2645.
HOPE IT HELPS
PLEASE MARK AS BRAINLIEST
Answer:
858 cm², 2645
Step-by-step explanation:
Given, base radius = 7 cm.
Given, height of the toy = 31 cm.
Height of conical part = height of the toy - base radius
= 31 - 7
= 24 cm.
Slant height:
l = √h² + r²
= √24² + 7²
= √625
= 25 cm
Surface area of cone:
πrl
= (22/7) * (7) * (25)
= 550 cm².
Surface area of hemispherical part:
= 2πr²
= 2 * (22/7) * (7)²
= 308 cm²
Total surface area of the toy:
= Surface area of cone + Surface area of hemispherical part
= 550 + 308
= 858 cm²
Given, Total number of 50 such toys.
So, total surface area of 50 toys = 50 * 858
= 42900 cm².
Cost of material per 100 cm² = 5.
So, cost of material per cm² = (1/20)
Then, cost of material per 858 cm² = 858 * 50 * 1/20
= 2145.
Given that cost of manufacturing per toy = 10.
Then, cost of making 50 toys = 50 * 100
= 500
Hence,total cost of 50 toys = 2145 + 500
= 2645.
Therefore:
⇒ Total surface area of the toy = 858 cm².
⇒ Total cost of 50 such toys = 2645.
Hope it helps!