Question

the curve surface area of cone is 4070 square cm and its diameter is 70 cm what is a slant height and its volume

Answer 1

(2 pie r l) formula
4070
2×22/7× 35× l=4070
l= 4070/2×22×5= 37/2
=18.5 slant height

Answer 2

Answer:

Step-by-step explanation:

csa of cone = 4070 cm ²

radius of cone = d÷2 = 70 ÷2 =35

csa of cone =πrL

4070=22÷7 ×35×L

futher simplified :

4070 =22×5×L

4070 =110×L

L=4070÷110

L=37cm

HEIGHT =L²=r²×h²

37²=35² × h²

1369=1125+h²

1369-1125=h²

244=h²

h²=√244

h²=12²  {squares on both sides get canceled}

HEIGHT =12cm

volume of the cone =1÷2×πr²h

v=1÷2×22÷7×35×12

v= 22×5×35×6

v=440×35

volume of the cone =15,400cm³