NOTE. The standard cremation rituals taught in the karma-kāṇḍa division of Vedic scriptures are compulsory for all who participate in varṇāśrama-dharma. Prabhupāda explains the purpose behind those rituals in his purport to Bhagavad-gītā (2.46) thus:

The rituals and sacrifices mentioned in the karma-kāṇḍa division of the Vedic literature are meant to encourage gradual development of self-realization. And the purpose of self-realization is clearly stated in the Fifteenth Chapter of the Bhagavad-gītā (15.15): the purpose of studying the Vedas is to know Lord Kṛṣṇa, the primeval cause of everything. So, self-realization means understanding Kṛṣṇa and one’s eternal relationship with Him. The relationship of the living entities with Kṛṣṇa is also mentioned in the Fifteenth Chapter of Bhagavad-gītā (15.7). The living entities are parts and parcels of Kṛṣṇa; therefore, revival of Kṛṣṇa consciousness by the individual living entity is the highest perfectional stage of Vedic knowledge. This is confirmed in the Śrīmad-Bhāgavatam (3.33.7) as follows:

aho bata śva-paco ’to garīyān
yaj-jihvāgre vartate nāma tubhyam
tepus tapas te juhuvuḥ sasnur āryā
brahmānūcur nāma gṛṇanti ye te

“O my Lord, a person who is chanting Your holy name, although born of a low family like that of a caṇḍāla [dog-eater], is situated on the highest platform of self-realization. Such a person must have performed all kinds of penances and sacrifices according to Vedic rituals and studied the Vedic literatures many, many times after taking his bath in all the holy places of pilgrimage. Such a person is considered to be the best of the Āryan family.”